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Finding the Fourth Proportional to 82,721.20, 124,081.80 and 41,162.80

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Solution

The fourth proportional to 82,721.20, 124,081.80 and 41,162.80 is: 61,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,721.20 : 124,081.80 = 41,162.80 : x
  2. Step 2: Convert to fraction form
    82,721.20/124,081.80 = 41,162.80/x
  3. Step 3: Cross multiply
    82,721.20x = 124,081.80 × 41,162.80
  4. Step 4: Simplify right side
    82,721.20x = 5,107,554,317.04
  5. Step 5: Solve for x
    x = 5,107,554,317.04/82,721.20
  6. Step 6: Final answer
    x = 61,744.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.