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Finding the Fourth Proportional to 76,744.50, 115,111.13 and 24,169.02

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Solution

The fourth proportional to 76,744.50, 115,111.13 and 24,169.02 is: 36,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.50 : 115,111.13 = 24,169.02 : x
  2. Step 2: Convert to fraction form
    76,744.50/115,111.13 = 24,169.02/x
  3. Step 3: Cross multiply
    76,744.50x = 115,111.13 × 24,169.02
  4. Step 4: Simplify right side
    76,744.50x = 2,782,122,650.68
  5. Step 5: Solve for x
    x = 2,782,122,650.68/76,744.50
  6. Step 6: Final answer
    x = 36,251.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.