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Finding the Fourth Proportional to 57,700.70, 86,575.35 and 31,424.30

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Solution

The fourth proportional to 57,700.70, 86,575.35 and 31,424.30 is: 47,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,700.70 : 86,575.35 = 31,424.30 : x
  2. Step 2: Convert to fraction form
    57,700.70/86,575.35 = 31,424.30/x
  3. Step 3: Cross multiply
    57,700.70x = 86,575.35 × 31,424.30
  4. Step 4: Simplify right side
    57,700.70x = 2,720,569,771.01
  5. Step 5: Solve for x
    x = 2,720,569,771.01/57,700.70
  6. Step 6: Final answer
    x = 47,149.68

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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.