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Finding the Fourth Proportional to 83,727.56, 125,544 and 27,552.49

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Solution

The fourth proportional to 83,727.56, 125,544 and 27,552.49 is: 41,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,727.56 : 125,544 = 27,552.49 : x
  2. Step 2: Convert to fraction form
    83,727.56/125,544 = 27,552.49/x
  3. Step 3: Cross multiply
    83,727.56x = 125,544 × 27,552.49
  4. Step 4: Simplify right side
    83,727.56x = 3,459,049,804.56
  5. Step 5: Solve for x
    x = 3,459,049,804.56/83,727.56
  6. Step 6: Final answer
    x = 41,313.16

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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.