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Finding the Fourth Proportional to 36,641.76, 54,919.80 and 32,489.76

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Solution

The fourth proportional to 36,641.76, 54,919.80 and 32,489.76 is: 48,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641.76 : 54,919.80 = 32,489.76 : x
  2. Step 2: Convert to fraction form
    36,641.76/54,919.80 = 32,489.76/x
  3. Step 3: Cross multiply
    36,641.76x = 54,919.80 × 32,489.76
  4. Step 4: Simplify right side
    36,641.76x = 1,784,331,121.25
  5. Step 5: Solve for x
    x = 1,784,331,121.25/36,641.76
  6. Step 6: Final answer
    x = 48,696.65

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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.