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Finding the Fourth Proportional to 82,711.50, 114,142.42 and 44,986.02

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Solution

The fourth proportional to 82,711.50, 114,142.42 and 44,986.02 is: 62,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.50 : 114,142.42 = 44,986.02 : x
  2. Step 2: Convert to fraction form
    82,711.50/114,142.42 = 44,986.02/x
  3. Step 3: Cross multiply
    82,711.50x = 114,142.42 × 44,986.02
  4. Step 4: Simplify right side
    82,711.50x = 5,134,813,188.97
  5. Step 5: Solve for x
    x = 5,134,813,188.97/82,711.50
  6. Step 6: Final answer
    x = 62,081.01

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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.