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Finding the Fourth Proportional to 39,469.38, 54,466.12 and 21,565

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Solution

The fourth proportional to 39,469.38, 54,466.12 and 21,565 is: 29,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,469.38 : 54,466.12 = 21,565 : x
  2. Step 2: Convert to fraction form
    39,469.38/54,466.12 = 21,565/x
  3. Step 3: Cross multiply
    39,469.38x = 54,466.12 × 21,565
  4. Step 4: Simplify right side
    39,469.38x = 1,174,561,877.80
  5. Step 5: Solve for x
    x = 1,174,561,877.80/39,469.38
  6. Step 6: Final answer
    x = 29,758.81

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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.