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Finding the Fourth Proportional to 54,469.38, 75,156.08 and 31,798.08

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Solution

The fourth proportional to 54,469.38, 75,156.08 and 31,798.08 is: 43,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,469.38 : 75,156.08 = 31,798.08 : x
  2. Step 2: Convert to fraction form
    54,469.38/75,156.08 = 31,798.08/x
  3. Step 3: Cross multiply
    54,469.38x = 75,156.08 × 31,798.08
  4. Step 4: Simplify right side
    54,469.38x = 2,389,819,044.33
  5. Step 5: Solve for x
    x = 2,389,819,044.33/54,469.38
  6. Step 6: Final answer
    x = 43,874.54

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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.