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Finding the Fourth Proportional to 97,876.80, 146,912.40 and 48,013.20

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Solution

The fourth proportional to 97,876.80, 146,912.40 and 48,013.20 is: 72,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,876.80 : 146,912.40 = 48,013.20 : x
  2. Step 2: Convert to fraction form
    97,876.80/146,912.40 = 48,013.20/x
  3. Step 3: Cross multiply
    97,876.80x = 146,912.40 × 48,013.20
  4. Step 4: Simplify right side
    97,876.80x = 7,053,734,443.68
  5. Step 5: Solve for x
    x = 7,053,734,443.68/97,876.80
  6. Step 6: Final answer
    x = 72,067.48

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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.