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Finding the Fourth Proportional to 56,591.28, 78,098.43 and 31,440.78

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Solution

The fourth proportional to 56,591.28, 78,098.43 and 31,440.78 is: 43,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,591.28 : 78,098.43 = 31,440.78 : x
  2. Step 2: Convert to fraction form
    56,591.28/78,098.43 = 31,440.78/x
  3. Step 3: Cross multiply
    56,591.28x = 78,098.43 × 31,440.78
  4. Step 4: Simplify right side
    56,591.28x = 2,455,475,555.98
  5. Step 5: Solve for x
    x = 2,455,475,555.98/56,591.28
  6. Step 6: Final answer
    x = 43,389.65

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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.