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Finding the Fourth Proportional to 82,617.14, 114,012.70 and 44,892.02

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Solution

The fourth proportional to 82,617.14, 114,012.70 and 44,892.02 is: 61,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.14 : 114,012.70 = 44,892.02 : x
  2. Step 2: Convert to fraction form
    82,617.14/114,012.70 = 44,892.02/x
  3. Step 3: Cross multiply
    82,617.14x = 114,012.70 × 44,892.02
  4. Step 4: Simplify right side
    82,617.14x = 5,118,260,408.65
  5. Step 5: Solve for x
    x = 5,118,260,408.65/82,617.14
  6. Step 6: Final answer
    x = 61,951.56

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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.