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Finding the Fourth Proportional to 51,854.68, 71,559.75 and 29,498.68

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Solution

The fourth proportional to 51,854.68, 71,559.75 and 29,498.68 is: 40,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.68 : 71,559.75 = 29,498.68 : x
  2. Step 2: Convert to fraction form
    51,854.68/71,559.75 = 29,498.68/x
  3. Step 3: Cross multiply
    51,854.68x = 71,559.75 × 29,498.68
  4. Step 4: Simplify right side
    51,854.68x = 2,110,918,166.13
  5. Step 5: Solve for x
    x = 2,110,918,166.13/51,854.68
  6. Step 6: Final answer
    x = 40,708.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.