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Finding the Fourth Proportional to 52,605.50, 72,593.73 and 29,942.78

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Solution

The fourth proportional to 52,605.50, 72,593.73 and 29,942.78 is: 41,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.50 : 72,593.73 = 29,942.78 : x
  2. Step 2: Convert to fraction form
    52,605.50/72,593.73 = 29,942.78/x
  3. Step 3: Cross multiply
    52,605.50x = 72,593.73 × 29,942.78
  4. Step 4: Simplify right side
    52,605.50x = 2,173,657,723.80
  5. Step 5: Solve for x
    x = 2,173,657,723.80/52,605.50
  6. Step 6: Final answer
    x = 41,319.97

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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.