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Finding the Fourth Proportional to 101,722.96, 152,617.56 and 49,138.48

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Solution

The fourth proportional to 101,722.96, 152,617.56 and 49,138.48 is: 73,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,722.96 : 152,617.56 = 49,138.48 : x
  2. Step 2: Convert to fraction form
    101,722.96/152,617.56 = 49,138.48/x
  3. Step 3: Cross multiply
    101,722.96x = 152,617.56 × 49,138.48
  4. Step 4: Simplify right side
    101,722.96x = 7,499,394,919.71
  5. Step 5: Solve for x
    x = 7,499,394,919.71/101,722.96
  6. Step 6: Final answer
    x = 73,723.72

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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.