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Finding the Fourth Proportional to 106,591.85, 159,803.43 and 40,024.56

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Solution

The fourth proportional to 106,591.85, 159,803.43 and 40,024.56 is: 60,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591.85 : 159,803.43 = 40,024.56 : x
  2. Step 2: Convert to fraction form
    106,591.85/159,803.43 = 40,024.56/x
  3. Step 3: Cross multiply
    106,591.85x = 159,803.43 × 40,024.56
  4. Step 4: Simplify right side
    106,591.85x = 6,396,062,646.55
  5. Step 5: Solve for x
    x = 6,396,062,646.55/106,591.85
  6. Step 6: Final answer
    x = 60,005.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.