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Finding the Fourth Proportional to 29,294.13, 43,948.68 and 8,517.63

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Solution

The fourth proportional to 29,294.13, 43,948.68 and 8,517.63 is: 12,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.13 : 43,948.68 = 8,517.63 : x
  2. Step 2: Convert to fraction form
    29,294.13/43,948.68 = 8,517.63/x
  3. Step 3: Cross multiply
    29,294.13x = 43,948.68 × 8,517.63
  4. Step 4: Simplify right side
    29,294.13x = 374,338,595.23
  5. Step 5: Solve for x
    x = 374,338,595.23/29,294.13
  6. Step 6: Final answer
    x = 12,778.62

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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.