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Finding the Fourth Proportional to 42,672.60, 58,876.32 and 27,565.92

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Solution

The fourth proportional to 42,672.60, 58,876.32 and 27,565.92 is: 38,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672.60 : 58,876.32 = 27,565.92 : x
  2. Step 2: Convert to fraction form
    42,672.60/58,876.32 = 27,565.92/x
  3. Step 3: Cross multiply
    42,672.60x = 58,876.32 × 27,565.92
  4. Step 4: Simplify right side
    42,672.60x = 1,622,979,927.01
  5. Step 5: Solve for x
    x = 1,622,979,927.01/42,672.60
  6. Step 6: Final answer
    x = 38,033.30

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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.