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Finding the Fourth Proportional to 50,702.80, 69,958.92 and 29,471.20

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Solution

The fourth proportional to 50,702.80, 69,958.92 and 29,471.20 is: 40,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.80 : 69,958.92 = 29,471.20 : x
  2. Step 2: Convert to fraction form
    50,702.80/69,958.92 = 29,471.20/x
  3. Step 3: Cross multiply
    50,702.80x = 69,958.92 × 29,471.20
  4. Step 4: Simplify right side
    50,702.80x = 2,061,773,323.10
  5. Step 5: Solve for x
    x = 2,061,773,323.10/50,702.80
  6. Step 6: Final answer
    x = 40,663.89

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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.