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Finding the Fourth Proportional to 32,344.62, 48,517 and 8,971.14

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Solution

The fourth proportional to 32,344.62, 48,517 and 8,971.14 is: 13,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.62 : 48,517 = 8,971.14 : x
  2. Step 2: Convert to fraction form
    32,344.62/48,517 = 8,971.14/x
  3. Step 3: Cross multiply
    32,344.62x = 48,517 × 8,971.14
  4. Step 4: Simplify right side
    32,344.62x = 435,252,799.38
  5. Step 5: Solve for x
    x = 435,252,799.38/32,344.62
  6. Step 6: Final answer
    x = 13,456.73

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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.