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Finding the Fourth Proportional to 51,773.28, 71,446.80 and 29,417.28

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Solution

The fourth proportional to 51,773.28, 71,446.80 and 29,417.28 is: 40,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.28 : 71,446.80 = 29,417.28 : x
  2. Step 2: Convert to fraction form
    51,773.28/71,446.80 = 29,417.28/x
  3. Step 3: Cross multiply
    51,773.28x = 71,446.80 × 29,417.28
  4. Step 4: Simplify right side
    51,773.28x = 2,101,770,520.70
  5. Step 5: Solve for x
    x = 2,101,770,520.70/51,773.28
  6. Step 6: Final answer
    x = 40,595.66

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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.