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Finding the Fourth Proportional to 55,912.64, 83,830.08 and 20,842.88

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Solution

The fourth proportional to 55,912.64, 83,830.08 and 20,842.88 is: 31,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912.64 : 83,830.08 = 20,842.88 : x
  2. Step 2: Convert to fraction form
    55,912.64/83,830.08 = 20,842.88/x
  3. Step 3: Cross multiply
    55,912.64x = 83,830.08 × 20,842.88
  4. Step 4: Simplify right side
    55,912.64x = 1,747,260,297.83
  5. Step 5: Solve for x
    x = 1,747,260,297.83/55,912.64
  6. Step 6: Final answer
    x = 31,249.83

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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.