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Finding the Fourth Proportional to 56,764.88, 78,337.96 and 31,614.38

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Solution

The fourth proportional to 56,764.88, 78,337.96 and 31,614.38 is: 43,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,764.88 : 78,337.96 = 31,614.38 : x
  2. Step 2: Convert to fraction form
    56,764.88/78,337.96 = 31,614.38/x
  3. Step 3: Cross multiply
    56,764.88x = 78,337.96 × 31,614.38
  4. Step 4: Simplify right side
    56,764.88x = 2,476,605,565.14
  5. Step 5: Solve for x
    x = 2,476,605,565.14/56,764.88
  6. Step 6: Final answer
    x = 43,629.19

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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.