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Finding the Fourth Proportional to 73,772.70, 110,644.65 and 24,524.70

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Solution

The fourth proportional to 73,772.70, 110,644.65 and 24,524.70 is: 36,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772.70 : 110,644.65 = 24,524.70 : x
  2. Step 2: Convert to fraction form
    73,772.70/110,644.65 = 24,524.70/x
  3. Step 3: Cross multiply
    73,772.70x = 110,644.65 × 24,524.70
  4. Step 4: Simplify right side
    73,772.70x = 2,713,526,847.86
  5. Step 5: Solve for x
    x = 2,713,526,847.86/73,772.70
  6. Step 6: Final answer
    x = 36,782.26

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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.