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Finding the Fourth Proportional to 55,385.38, 83,078.34 and 13,832.38

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Solution

The fourth proportional to 55,385.38, 83,078.34 and 13,832.38 is: 20,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,385.38 : 83,078.34 = 13,832.38 : x
  2. Step 2: Convert to fraction form
    55,385.38/83,078.34 = 13,832.38/x
  3. Step 3: Cross multiply
    55,385.38x = 83,078.34 × 13,832.38
  4. Step 4: Simplify right side
    55,385.38x = 1,149,171,168.65
  5. Step 5: Solve for x
    x = 1,149,171,168.65/55,385.38
  6. Step 6: Final answer
    x = 20,748.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.