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Finding the Fourth Proportional to 32,233.52, 48,346.14 and 8,861.78

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Solution

The fourth proportional to 32,233.52, 48,346.14 and 8,861.78 is: 13,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.52 : 48,346.14 = 8,861.78 : x
  2. Step 2: Convert to fraction form
    32,233.52/48,346.14 = 8,861.78/x
  3. Step 3: Cross multiply
    32,233.52x = 48,346.14 × 8,861.78
  4. Step 4: Simplify right side
    32,233.52x = 428,432,856.53
  5. Step 5: Solve for x
    x = 428,432,856.53/32,233.52
  6. Step 6: Final answer
    x = 13,291.53

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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.