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Finding the Fourth Proportional to 56,296.50, 77,689.20 and 31,149.78

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Solution

The fourth proportional to 56,296.50, 77,689.20 and 31,149.78 is: 42,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,296.50 : 77,689.20 = 31,149.78 : x
  2. Step 2: Convert to fraction form
    56,296.50/77,689.20 = 31,149.78/x
  3. Step 3: Cross multiply
    56,296.50x = 77,689.20 × 31,149.78
  4. Step 4: Simplify right side
    56,296.50x = 2,420,001,488.38
  5. Step 5: Solve for x
    x = 2,420,001,488.38/56,296.50
  6. Step 6: Final answer
    x = 42,986.71

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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.