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Finding the Fourth Proportional to 36,900.27, 55,343.49 and 9,882.90

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Solution

The fourth proportional to 36,900.27, 55,343.49 and 9,882.90 is: 14,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,900.27 : 55,343.49 = 9,882.90 : x
  2. Step 2: Convert to fraction form
    36,900.27/55,343.49 = 9,882.90/x
  3. Step 3: Cross multiply
    36,900.27x = 55,343.49 × 9,882.90
  4. Step 4: Simplify right side
    36,900.27x = 546,954,177.32
  5. Step 5: Solve for x
    x = 546,954,177.32/36,900.27
  6. Step 6: Final answer
    x = 14,822.50

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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.