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Finding the Fourth Proportional to 101,876.35, 152,847.73 and 51,249.24

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Solution

The fourth proportional to 101,876.35, 152,847.73 and 51,249.24 is: 76,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,876.35 : 152,847.73 = 51,249.24 : x
  2. Step 2: Convert to fraction form
    101,876.35/152,847.73 = 51,249.24/x
  3. Step 3: Cross multiply
    101,876.35x = 152,847.73 × 51,249.24
  4. Step 4: Simplify right side
    101,876.35x = 7,833,329,870.10
  5. Step 5: Solve for x
    x = 7,833,329,870.10/101,876.35
  6. Step 6: Final answer
    x = 76,890.56

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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.