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Finding the Fourth Proportional to 48,914.16, 67,500.42 and 27,693

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Solution

The fourth proportional to 48,914.16, 67,500.42 and 27,693 is: 38,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,914.16 : 67,500.42 = 27,693 : x
  2. Step 2: Convert to fraction form
    48,914.16/67,500.42 = 27,693/x
  3. Step 3: Cross multiply
    48,914.16x = 67,500.42 × 27,693
  4. Step 4: Simplify right side
    48,914.16x = 1,869,289,131.06
  5. Step 5: Solve for x
    x = 1,869,289,131.06/48,914.16
  6. Step 6: Final answer
    x = 38,215.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.