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Finding the Fourth Proportional to 51,788.67, 71,473.84 and 31,657.33

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Solution

The fourth proportional to 51,788.67, 71,473.84 and 31,657.33 is: 43,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788.67 : 71,473.84 = 31,657.33 : x
  2. Step 2: Convert to fraction form
    51,788.67/71,473.84 = 31,657.33/x
  3. Step 3: Cross multiply
    51,788.67x = 71,473.84 × 31,657.33
  4. Step 4: Simplify right side
    51,788.67x = 2,262,671,127.52
  5. Step 5: Solve for x
    x = 2,262,671,127.52/51,788.67
  6. Step 6: Final answer
    x = 43,690.47

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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.