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Finding the Fourth Proportional to 42,814.68, 59,096.13 and 24,913.14

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Solution

The fourth proportional to 42,814.68, 59,096.13 and 24,913.14 is: 34,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.68 : 59,096.13 = 24,913.14 : x
  2. Step 2: Convert to fraction form
    42,814.68/59,096.13 = 24,913.14/x
  3. Step 3: Cross multiply
    42,814.68x = 59,096.13 × 24,913.14
  4. Step 4: Simplify right side
    42,814.68x = 1,472,270,160.15
  5. Step 5: Solve for x
    x = 1,472,270,160.15/42,814.68
  6. Step 6: Final answer
    x = 34,387.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.