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Finding the Fourth Proportional to 29,380.82, 44,061.87 and 9,654.80

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Solution

The fourth proportional to 29,380.82, 44,061.87 and 9,654.80 is: 14,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.82 : 44,061.87 = 9,654.80 : x
  2. Step 2: Convert to fraction form
    29,380.82/44,061.87 = 9,654.80/x
  3. Step 3: Cross multiply
    29,380.82x = 44,061.87 × 9,654.80
  4. Step 4: Simplify right side
    29,380.82x = 425,408,542.48
  5. Step 5: Solve for x
    x = 425,408,542.48/29,380.82
  6. Step 6: Final answer
    x = 14,479.12

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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.