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Finding the Fourth Proportional to 48,901.56, 67,485.76 and 27,680.38

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Solution

The fourth proportional to 48,901.56, 67,485.76 and 27,680.38 is: 38,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901.56 : 67,485.76 = 27,680.38 : x
  2. Step 2: Convert to fraction form
    48,901.56/67,485.76 = 27,680.38/x
  3. Step 3: Cross multiply
    48,901.56x = 67,485.76 × 27,680.38
  4. Step 4: Simplify right side
    48,901.56x = 1,868,031,481.39
  5. Step 5: Solve for x
    x = 1,868,031,481.39/48,901.56
  6. Step 6: Final answer
    x = 38,199.83

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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.