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Finding the Fourth Proportional to 82,532.71, 123,751.59 and 44,016.70

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Solution

The fourth proportional to 82,532.71, 123,751.59 and 44,016.70 is: 65,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.71 : 123,751.59 = 44,016.70 : x
  2. Step 2: Convert to fraction form
    82,532.71/123,751.59 = 44,016.70/x
  3. Step 3: Cross multiply
    82,532.71x = 123,751.59 × 44,016.70
  4. Step 4: Simplify right side
    82,532.71x = 5,447,135,992.80
  5. Step 5: Solve for x
    x = 5,447,135,992.80/82,532.71
  6. Step 6: Final answer
    x = 65,999.72

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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.