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Finding the Fourth Proportional to 101,154.28, 151,761.79 and 47,886.86

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Solution

The fourth proportional to 101,154.28, 151,761.79 and 47,886.86 is: 71,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,154.28 : 151,761.79 = 47,886.86 : x
  2. Step 2: Convert to fraction form
    101,154.28/151,761.79 = 47,886.86/x
  3. Step 3: Cross multiply
    101,154.28x = 151,761.79 × 47,886.86
  4. Step 4: Simplify right side
    101,154.28x = 7,267,394,832.27
  5. Step 5: Solve for x
    x = 7,267,394,832.27/101,154.28
  6. Step 6: Final answer
    x = 71,844.66

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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.