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Finding the Fourth Proportional to 42,042, 58,022.07 and 23,179.14

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Solution

The fourth proportional to 42,042, 58,022.07 and 23,179.14 is: 31,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042 : 58,022.07 = 23,179.14 : x
  2. Step 2: Convert to fraction form
    42,042/58,022.07 = 23,179.14/x
  3. Step 3: Cross multiply
    42,042x = 58,022.07 × 23,179.14
  4. Step 4: Simplify right side
    42,042x = 1,344,901,683.62
  5. Step 5: Solve for x
    x = 1,344,901,683.62/42,042
  6. Step 6: Final answer
    x = 31,989.48

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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.