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Finding the Fourth Proportional to 42,338.71, 58,414.12 and 24,431.37

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Solution

The fourth proportional to 42,338.71, 58,414.12 and 24,431.37 is: 33,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.71 : 58,414.12 = 24,431.37 : x
  2. Step 2: Convert to fraction form
    42,338.71/58,414.12 = 24,431.37/x
  3. Step 3: Cross multiply
    42,338.71x = 58,414.12 × 24,431.37
  4. Step 4: Simplify right side
    42,338.71x = 1,427,136,978.94
  5. Step 5: Solve for x
    x = 1,427,136,978.94/42,338.71
  6. Step 6: Final answer
    x = 33,707.62

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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.