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Finding the Fourth Proportional to 36,148.97, 54,221.85 and 9,853.71

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Solution

The fourth proportional to 36,148.97, 54,221.85 and 9,853.71 is: 14,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.97 : 54,221.85 = 9,853.71 : x
  2. Step 2: Convert to fraction form
    36,148.97/54,221.85 = 9,853.71/x
  3. Step 3: Cross multiply
    36,148.97x = 54,221.85 × 9,853.71
  4. Step 4: Simplify right side
    36,148.97x = 534,286,385.56
  5. Step 5: Solve for x
    x = 534,286,385.56/36,148.97
  6. Step 6: Final answer
    x = 14,780.13

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