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Finding the Fourth Proportional to 34,711.38, 47,896.29 and 20,561.94

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Solution

The fourth proportional to 34,711.38, 47,896.29 and 20,561.94 is: 28,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.38 : 47,896.29 = 20,561.94 : x
  2. Step 2: Convert to fraction form
    34,711.38/47,896.29 = 20,561.94/x
  3. Step 3: Cross multiply
    34,711.38x = 47,896.29 × 20,561.94
  4. Step 4: Simplify right side
    34,711.38x = 984,840,641.20
  5. Step 5: Solve for x
    x = 984,840,641.20/34,711.38
  6. Step 6: Final answer
    x = 28,372.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.