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Finding the Fourth Proportional to 56,743.50, 78,306.57 and 31,593.54

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Solution

The fourth proportional to 56,743.50, 78,306.57 and 31,593.54 is: 43,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,743.50 : 78,306.57 = 31,593.54 : x
  2. Step 2: Convert to fraction form
    56,743.50/78,306.57 = 31,593.54/x
  3. Step 3: Cross multiply
    56,743.50x = 78,306.57 × 31,593.54
  4. Step 4: Simplify right side
    56,743.50x = 2,473,981,751.56
  5. Step 5: Solve for x
    x = 2,473,981,751.56/56,743.50
  6. Step 6: Final answer
    x = 43,599.39

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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.