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Finding the Fourth Proportional to 82,651.92, 114,059.10 and 44,926.17

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Solution

The fourth proportional to 82,651.92, 114,059.10 and 44,926.17 is: 61,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,651.92 : 114,059.10 = 44,926.17 : x
  2. Step 2: Convert to fraction form
    82,651.92/114,059.10 = 44,926.17/x
  3. Step 3: Cross multiply
    82,651.92x = 114,059.10 × 44,926.17
  4. Step 4: Simplify right side
    82,651.92x = 5,124,238,516.65
  5. Step 5: Solve for x
    x = 5,124,238,516.65/82,651.92
  6. Step 6: Final answer
    x = 61,997.82

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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.