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Finding the Fourth Proportional to 101,147.46, 151,764.92 and 38,803.38

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Solution

The fourth proportional to 101,147.46, 151,764.92 and 38,803.38 is: 58,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.46 : 151,764.92 = 38,803.38 : x
  2. Step 2: Convert to fraction form
    101,147.46/151,764.92 = 38,803.38/x
  3. Step 3: Cross multiply
    101,147.46x = 151,764.92 × 38,803.38
  4. Step 4: Simplify right side
    101,147.46x = 5,888,991,199.61
  5. Step 5: Solve for x
    x = 5,888,991,199.61/101,147.46
  6. Step 6: Final answer
    x = 58,221.84

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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.