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Finding the Fourth Proportional to 10,033.92, 15,049.92 and 3,459.20

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Solution

The fourth proportional to 10,033.92, 15,049.92 and 3,459.20 is: 5,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.92 : 15,049.92 = 3,459.20 : x
  2. Step 2: Convert to fraction form
    10,033.92/15,049.92 = 3,459.20/x
  3. Step 3: Cross multiply
    10,033.92x = 15,049.92 × 3,459.20
  4. Step 4: Simplify right side
    10,033.92x = 52,060,683.26
  5. Step 5: Solve for x
    x = 52,060,683.26/10,033.92
  6. Step 6: Final answer
    x = 5,188.47

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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.