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Finding the Fourth Proportional to 47,729.70, 65,863.13 and 27,587.89

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Solution

The fourth proportional to 47,729.70, 65,863.13 and 27,587.89 is: 38,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729.70 : 65,863.13 = 27,587.89 : x
  2. Step 2: Convert to fraction form
    47,729.70/65,863.13 = 27,587.89/x
  3. Step 3: Cross multiply
    47,729.70x = 65,863.13 × 27,587.89
  4. Step 4: Simplify right side
    47,729.70x = 1,817,024,387.21
  5. Step 5: Solve for x
    x = 1,817,024,387.21/47,729.70
  6. Step 6: Final answer
    x = 38,069.05

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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.