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Finding the Fourth Proportional to 47,691.78, 65,809.80 and 27,555.12

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Solution

The fourth proportional to 47,691.78, 65,809.80 and 27,555.12 is: 38,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.78 : 65,809.80 = 27,555.12 : x
  2. Step 2: Convert to fraction form
    47,691.78/65,809.80 = 27,555.12/x
  3. Step 3: Cross multiply
    47,691.78x = 65,809.80 × 27,555.12
  4. Step 4: Simplify right side
    47,691.78x = 1,813,396,936.18
  5. Step 5: Solve for x
    x = 1,813,396,936.18/47,691.78
  6. Step 6: Final answer
    x = 38,023.26

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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.