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Finding the Fourth Proportional to 101,142.24, 151,620.48 and 38,800.32

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Solution

The fourth proportional to 101,142.24, 151,620.48 and 38,800.32 is: 58,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142.24 : 151,620.48 = 38,800.32 : x
  2. Step 2: Convert to fraction form
    101,142.24/151,620.48 = 38,800.32/x
  3. Step 3: Cross multiply
    101,142.24x = 151,620.48 × 38,800.32
  4. Step 4: Simplify right side
    101,142.24x = 5,882,923,142.55
  5. Step 5: Solve for x
    x = 5,882,923,142.55/101,142.24
  6. Step 6: Final answer
    x = 58,164.85

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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.