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Finding the Fourth Proportional to 56,649.39, 78,177.02 and 31,156.85

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Solution

The fourth proportional to 56,649.39, 78,177.02 and 31,156.85 is: 42,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,649.39 : 78,177.02 = 31,156.85 : x
  2. Step 2: Convert to fraction form
    56,649.39/78,177.02 = 31,156.85/x
  3. Step 3: Cross multiply
    56,649.39x = 78,177.02 × 31,156.85
  4. Step 4: Simplify right side
    56,649.39x = 2,435,749,138.92
  5. Step 5: Solve for x
    x = 2,435,749,138.92/56,649.39
  6. Step 6: Final answer
    x = 42,996.92

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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.