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Finding the Fourth Proportional to 38,408.52, 53,013.78 and 25,016.52

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Solution

The fourth proportional to 38,408.52, 53,013.78 and 25,016.52 is: 34,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.52 : 53,013.78 = 25,016.52 : x
  2. Step 2: Convert to fraction form
    38,408.52/53,013.78 = 25,016.52/x
  3. Step 3: Cross multiply
    38,408.52x = 53,013.78 × 25,016.52
  4. Step 4: Simplify right side
    38,408.52x = 1,326,220,287.65
  5. Step 5: Solve for x
    x = 1,326,220,287.65/38,408.52
  6. Step 6: Final answer
    x = 34,529.33

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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.