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Finding the Fourth Proportional to 56,942, 78,580.32 and 31,791.68

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Solution

The fourth proportional to 56,942, 78,580.32 and 31,791.68 is: 43,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942 : 78,580.32 = 31,791.68 : x
  2. Step 2: Convert to fraction form
    56,942/78,580.32 = 31,791.68/x
  3. Step 3: Cross multiply
    56,942x = 78,580.32 × 31,791.68
  4. Step 4: Simplify right side
    56,942x = 2,498,200,387.74
  5. Step 5: Solve for x
    x = 2,498,200,387.74/56,942
  6. Step 6: Final answer
    x = 43,872.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.