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Finding the Fourth Proportional to 32,115.69, 48,178.16 and 9,930.80

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Solution

The fourth proportional to 32,115.69, 48,178.16 and 9,930.80 is: 14,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.69 : 48,178.16 = 9,930.80 : x
  2. Step 2: Convert to fraction form
    32,115.69/48,178.16 = 9,930.80/x
  3. Step 3: Cross multiply
    32,115.69x = 48,178.16 × 9,930.80
  4. Step 4: Simplify right side
    32,115.69x = 478,447,380.78
  5. Step 5: Solve for x
    x = 478,447,380.78/32,115.69
  6. Step 6: Final answer
    x = 14,897.62

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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.