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Finding the Fourth Proportional to 29,391.16, 44,086.70 and 8,614.64

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Solution

The fourth proportional to 29,391.16, 44,086.70 and 8,614.64 is: 12,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,391.16 : 44,086.70 = 8,614.64 : x
  2. Step 2: Convert to fraction form
    29,391.16/44,086.70 = 8,614.64/x
  3. Step 3: Cross multiply
    29,391.16x = 44,086.70 × 8,614.64
  4. Step 4: Simplify right side
    29,391.16x = 379,791,049.29
  5. Step 5: Solve for x
    x = 379,791,049.29/29,391.16
  6. Step 6: Final answer
    x = 12,921.95

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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.