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Finding the Fourth Proportional to 51,714.42, 71,365.86 and 29,358.42

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Solution

The fourth proportional to 51,714.42, 71,365.86 and 29,358.42 is: 40,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714.42 : 71,365.86 = 29,358.42 : x
  2. Step 2: Convert to fraction form
    51,714.42/71,365.86 = 29,358.42/x
  3. Step 3: Cross multiply
    51,714.42x = 71,365.86 × 29,358.42
  4. Step 4: Simplify right side
    51,714.42x = 2,095,188,891.54
  5. Step 5: Solve for x
    x = 2,095,188,891.54/51,714.42
  6. Step 6: Final answer
    x = 40,514.60

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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.