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Finding the Fourth Proportional to 83,805.06, 125,726.13 and 27,662.52

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Solution

The fourth proportional to 83,805.06, 125,726.13 and 27,662.52 is: 41,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,805.06 : 125,726.13 = 27,662.52 : x
  2. Step 2: Convert to fraction form
    83,805.06/125,726.13 = 27,662.52/x
  3. Step 3: Cross multiply
    83,805.06x = 125,726.13 × 27,662.52
  4. Step 4: Simplify right side
    83,805.06x = 3,477,901,585.65
  5. Step 5: Solve for x
    x = 3,477,901,585.65/83,805.06
  6. Step 6: Final answer
    x = 41,499.90

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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.