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Finding the Fourth Proportional to 49,072.64, 67,717.22 and 27,565.31

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Solution

The fourth proportional to 49,072.64, 67,717.22 and 27,565.31 is: 38,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.64 : 67,717.22 = 27,565.31 : x
  2. Step 2: Convert to fraction form
    49,072.64/67,717.22 = 27,565.31/x
  3. Step 3: Cross multiply
    49,072.64x = 67,717.22 × 27,565.31
  4. Step 4: Simplify right side
    49,072.64x = 1,866,646,193.10
  5. Step 5: Solve for x
    x = 1,866,646,193.10/49,072.64
  6. Step 6: Final answer
    x = 38,038.43

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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.