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Finding the Fourth Proportional to 55,620.38, 76,758.10 and 30,469.88

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Solution

The fourth proportional to 55,620.38, 76,758.10 and 30,469.88 is: 42,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,620.38 : 76,758.10 = 30,469.88 : x
  2. Step 2: Convert to fraction form
    55,620.38/76,758.10 = 30,469.88/x
  3. Step 3: Cross multiply
    55,620.38x = 76,758.10 × 30,469.88
  4. Step 4: Simplify right side
    55,620.38x = 2,338,810,096.03
  5. Step 5: Solve for x
    x = 2,338,810,096.03/55,620.38
  6. Step 6: Final answer
    x = 42,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.