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Finding the Fourth Proportional to 98,870.70, 148,306.05 and 27,793.20

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Solution

The fourth proportional to 98,870.70, 148,306.05 and 27,793.20 is: 41,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,870.70 : 148,306.05 = 27,793.20 : x
  2. Step 2: Convert to fraction form
    98,870.70/148,306.05 = 27,793.20/x
  3. Step 3: Cross multiply
    98,870.70x = 148,306.05 × 27,793.20
  4. Step 4: Simplify right side
    98,870.70x = 4,121,899,708.86
  5. Step 5: Solve for x
    x = 4,121,899,708.86/98,870.70
  6. Step 6: Final answer
    x = 41,689.80

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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.