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Finding the Fourth Proportional to 82,639.92, 114,042.56 and 44,914.17

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Solution

The fourth proportional to 82,639.92, 114,042.56 and 44,914.17 is: 61,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,639.92 : 114,042.56 = 44,914.17 : x
  2. Step 2: Convert to fraction form
    82,639.92/114,042.56 = 44,914.17/x
  3. Step 3: Cross multiply
    82,639.92x = 114,042.56 × 44,914.17
  4. Step 4: Simplify right side
    82,639.92x = 5,122,126,702.50
  5. Step 5: Solve for x
    x = 5,122,126,702.50/82,639.92
  6. Step 6: Final answer
    x = 61,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.