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Finding the Fourth Proportional to 82,639.88, 114,043.92 and 44,914.12

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Solution

The fourth proportional to 82,639.88, 114,043.92 and 44,914.12 is: 61,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,639.88 : 114,043.92 = 44,914.12 : x
  2. Step 2: Convert to fraction form
    82,639.88/114,043.92 = 44,914.12/x
  3. Step 3: Cross multiply
    82,639.88x = 114,043.92 × 44,914.12
  4. Step 4: Simplify right side
    82,639.88x = 5,122,182,308.15
  5. Step 5: Solve for x
    x = 5,122,182,308.15/82,639.88
  6. Step 6: Final answer
    x = 61,981.97

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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.