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Finding the Fourth Proportional to 47,414.40, 71,102.40 and 16,233.60

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Solution

The fourth proportional to 47,414.40, 71,102.40 and 16,233.60 is: 24,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.40 : 71,102.40 = 16,233.60 : x
  2. Step 2: Convert to fraction form
    47,414.40/71,102.40 = 16,233.60/x
  3. Step 3: Cross multiply
    47,414.40x = 71,102.40 × 16,233.60
  4. Step 4: Simplify right side
    47,414.40x = 1,154,247,920.64
  5. Step 5: Solve for x
    x = 1,154,247,920.64/47,414.40
  6. Step 6: Final answer
    x = 24,343.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.