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Finding the Fourth Proportional to 82,169.65, 113,394.11 and 44,443.90

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Solution

The fourth proportional to 82,169.65, 113,394.11 and 44,443.90 is: 61,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.65 : 113,394.11 = 44,443.90 : x
  2. Step 2: Convert to fraction form
    82,169.65/113,394.11 = 44,443.90/x
  3. Step 3: Cross multiply
    82,169.65x = 113,394.11 × 44,443.90
  4. Step 4: Simplify right side
    82,169.65x = 5,039,676,485.43
  5. Step 5: Solve for x
    x = 5,039,676,485.43/82,169.65
  6. Step 6: Final answer
    x = 61,332.58

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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.