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Finding the Fourth Proportional to 63,821.32, 95,771.90 and 24,381.80

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Solution

The fourth proportional to 63,821.32, 95,771.90 and 24,381.80 is: 36,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,821.32 : 95,771.90 = 24,381.80 : x
  2. Step 2: Convert to fraction form
    63,821.32/95,771.90 = 24,381.80/x
  3. Step 3: Cross multiply
    63,821.32x = 95,771.90 × 24,381.80
  4. Step 4: Simplify right side
    63,821.32x = 2,335,091,311.42
  5. Step 5: Solve for x
    x = 2,335,091,311.42/63,821.32
  6. Step 6: Final answer
    x = 36,587.95

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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.