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Finding the Fourth Proportional to 42,333.64, 58,414.17 and 23,470.90

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Solution

The fourth proportional to 42,333.64, 58,414.17 and 23,470.90 is: 32,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,333.64 : 58,414.17 = 23,470.90 : x
  2. Step 2: Convert to fraction form
    42,333.64/58,414.17 = 23,470.90/x
  3. Step 3: Cross multiply
    42,333.64x = 58,414.17 × 23,470.90
  4. Step 4: Simplify right side
    42,333.64x = 1,371,033,142.65
  5. Step 5: Solve for x
    x = 1,371,033,142.65/42,333.64
  6. Step 6: Final answer
    x = 32,386.38

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Why These Related Problems?

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