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Finding the Fourth Proportional to 47,641.97, 71,486.42 and 33,691.65

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Solution

The fourth proportional to 47,641.97, 71,486.42 and 33,691.65 is: 50,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.97 : 71,486.42 = 33,691.65 : x
  2. Step 2: Convert to fraction form
    47,641.97/71,486.42 = 33,691.65/x
  3. Step 3: Cross multiply
    47,641.97x = 71,486.42 × 33,691.65
  4. Step 4: Simplify right side
    47,641.97x = 2,408,495,290.13
  5. Step 5: Solve for x
    x = 2,408,495,290.13/47,641.97
  6. Step 6: Final answer
    x = 50,554.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.