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Finding the Fourth Proportional to 39,534, 54,574.73 and 25,213.04

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Solution

The fourth proportional to 39,534, 54,574.73 and 25,213.04 is: 34,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 54,574.73 = 25,213.04 : x
  2. Step 2: Convert to fraction form
    39,534/54,574.73 = 25,213.04/x
  3. Step 3: Cross multiply
    39,534x = 54,574.73 × 25,213.04
  4. Step 4: Simplify right side
    39,534x = 1,375,995,049.95
  5. Step 5: Solve for x
    x = 1,375,995,049.95/39,534
  6. Step 6: Final answer
    x = 34,805.36

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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.