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Finding the Fourth Proportional to 57,714.39, 86,652.11 and 29,658.22

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Solution

The fourth proportional to 57,714.39, 86,652.11 and 29,658.22 is: 44,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.39 : 86,652.11 = 29,658.22 : x
  2. Step 2: Convert to fraction form
    57,714.39/86,652.11 = 29,658.22/x
  3. Step 3: Cross multiply
    57,714.39x = 86,652.11 × 29,658.22
  4. Step 4: Simplify right side
    57,714.39x = 2,569,947,199.36
  5. Step 5: Solve for x
    x = 2,569,947,199.36/57,714.39
  6. Step 6: Final answer
    x = 44,528.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.