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Finding the Fourth Proportional to 82,339.65, 123,490.98 and 49,069.17

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Solution

The fourth proportional to 82,339.65, 123,490.98 and 49,069.17 is: 73,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339.65 : 123,490.98 = 49,069.17 : x
  2. Step 2: Convert to fraction form
    82,339.65/123,490.98 = 49,069.17/x
  3. Step 3: Cross multiply
    82,339.65x = 123,490.98 × 49,069.17
  4. Step 4: Simplify right side
    82,339.65x = 6,059,599,891.09
  5. Step 5: Solve for x
    x = 6,059,599,891.09/82,339.65
  6. Step 6: Final answer
    x = 73,592.73

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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.