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Finding the Fourth Proportional to 47,691.74, 65,817.68 and 27,549.47

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Solution

The fourth proportional to 47,691.74, 65,817.68 and 27,549.47 is: 38,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.74 : 65,817.68 = 27,549.47 : x
  2. Step 2: Convert to fraction form
    47,691.74/65,817.68 = 27,549.47/x
  3. Step 3: Cross multiply
    47,691.74x = 65,817.68 × 27,549.47
  4. Step 4: Simplify right side
    47,691.74x = 1,813,241,733.79
  5. Step 5: Solve for x
    x = 1,813,241,733.79/47,691.74
  6. Step 6: Final answer
    x = 38,020.04

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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.