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Finding the Fourth Proportional to 83,751.29, 125,599.93 and 27,578.04

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Solution

The fourth proportional to 83,751.29, 125,599.93 and 27,578.04 is: 41,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.29 : 125,599.93 = 27,578.04 : x
  2. Step 2: Convert to fraction form
    83,751.29/125,599.93 = 27,578.04/x
  3. Step 3: Cross multiply
    83,751.29x = 125,599.93 × 27,578.04
  4. Step 4: Simplify right side
    83,751.29x = 3,463,799,755.65
  5. Step 5: Solve for x
    x = 3,463,799,755.65/83,751.29
  6. Step 6: Final answer
    x = 41,358.17

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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.