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Finding the Fourth Proportional to 36,882.60, 55,323.84 and 9,180.60

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Solution

The fourth proportional to 36,882.60, 55,323.84 and 9,180.60 is: 13,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882.60 : 55,323.84 = 9,180.60 : x
  2. Step 2: Convert to fraction form
    36,882.60/55,323.84 = 9,180.60/x
  3. Step 3: Cross multiply
    36,882.60x = 55,323.84 × 9,180.60
  4. Step 4: Simplify right side
    36,882.60x = 507,906,045.50
  5. Step 5: Solve for x
    x = 507,906,045.50/36,882.60
  6. Step 6: Final answer
    x = 13,770.89

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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.