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Finding the Fourth Proportional to 32,115.16, 48,177.29 and 9,930.48

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Solution

The fourth proportional to 32,115.16, 48,177.29 and 9,930.48 is: 14,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.16 : 48,177.29 = 9,930.48 : x
  2. Step 2: Convert to fraction form
    32,115.16/48,177.29 = 9,930.48/x
  3. Step 3: Cross multiply
    32,115.16x = 48,177.29 × 9,930.48
  4. Step 4: Simplify right side
    32,115.16x = 478,423,614.80
  5. Step 5: Solve for x
    x = 478,423,614.80/32,115.16
  6. Step 6: Final answer
    x = 14,897.13

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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.