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Finding the Fourth Proportional to 98,743.80, 148,131.11 and 32,168.46

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Solution

The fourth proportional to 98,743.80, 148,131.11 and 32,168.46 is: 48,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,743.80 : 148,131.11 = 32,168.46 : x
  2. Step 2: Convert to fraction form
    98,743.80/148,131.11 = 32,168.46/x
  3. Step 3: Cross multiply
    98,743.80x = 148,131.11 × 32,168.46
  4. Step 4: Simplify right side
    98,743.80x = 4,765,149,686.79
  5. Step 5: Solve for x
    x = 4,765,149,686.79/98,743.80
  6. Step 6: Final answer
    x = 48,257.71

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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.