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Finding the Fourth Proportional to 57,242.71, 85,846.56 and 39,586.83

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Solution

The fourth proportional to 57,242.71, 85,846.56 and 39,586.83 is: 59,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.71 : 85,846.56 = 39,586.83 : x
  2. Step 2: Convert to fraction form
    57,242.71/85,846.56 = 39,586.83/x
  3. Step 3: Cross multiply
    57,242.71x = 85,846.56 × 39,586.83
  4. Step 4: Simplify right side
    57,242.71x = 3,398,393,350.28
  5. Step 5: Solve for x
    x = 3,398,393,350.28/57,242.71
  6. Step 6: Final answer
    x = 59,368.14

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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.