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Finding the Fourth Proportional to 82,159.56, 113,380.11 and 44,433.72

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Solution

The fourth proportional to 82,159.56, 113,380.11 and 44,433.72 is: 61,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159.56 : 113,380.11 = 44,433.72 : x
  2. Step 2: Convert to fraction form
    82,159.56/113,380.11 = 44,433.72/x
  3. Step 3: Cross multiply
    82,159.56x = 113,380.11 × 44,433.72
  4. Step 4: Simplify right side
    82,159.56x = 5,037,900,061.31
  5. Step 5: Solve for x
    x = 5,037,900,061.31/82,159.56
  6. Step 6: Final answer
    x = 61,318.49

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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.