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Finding the Fourth Proportional to 29,438.50, 44,146.95 and 9,711.22

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Solution

The fourth proportional to 29,438.50, 44,146.95 and 9,711.22 is: 14,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,438.50 : 44,146.95 = 9,711.22 : x
  2. Step 2: Convert to fraction form
    29,438.50/44,146.95 = 9,711.22/x
  3. Step 3: Cross multiply
    29,438.50x = 44,146.95 × 9,711.22
  4. Step 4: Simplify right side
    29,438.50x = 428,720,743.78
  5. Step 5: Solve for x
    x = 428,720,743.78/29,438.50
  6. Step 6: Final answer
    x = 14,563.27

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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.