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Finding the Fourth Proportional to 101,163.94, 151,765.45 and 38,829.58

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Solution

The fourth proportional to 101,163.94, 151,765.45 and 38,829.58 is: 58,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,163.94 : 151,765.45 = 38,829.58 : x
  2. Step 2: Convert to fraction form
    101,163.94/151,765.45 = 38,829.58/x
  3. Step 3: Cross multiply
    101,163.94x = 151,765.45 × 38,829.58
  4. Step 4: Simplify right side
    101,163.94x = 5,892,988,682.01
  5. Step 5: Solve for x
    x = 5,892,988,682.01/101,163.94
  6. Step 6: Final answer
    x = 58,251.87

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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.