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Finding the Fourth Proportional to 42,042.60, 58,040.10 and 27,711.81

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Solution

The fourth proportional to 42,042.60, 58,040.10 and 27,711.81 is: 38,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042.60 : 58,040.10 = 27,711.81 : x
  2. Step 2: Convert to fraction form
    42,042.60/58,040.10 = 27,711.81/x
  3. Step 3: Cross multiply
    42,042.60x = 58,040.10 × 27,711.81
  4. Step 4: Simplify right side
    42,042.60x = 1,608,396,223.58
  5. Step 5: Solve for x
    x = 1,608,396,223.58/42,042.60
  6. Step 6: Final answer
    x = 38,256.35

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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.