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Finding the Fourth Proportional to 38,408.24, 53,013.24 and 25,012.88

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Solution

The fourth proportional to 38,408.24, 53,013.24 and 25,012.88 is: 34,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.24 : 53,013.24 = 25,012.88 : x
  2. Step 2: Convert to fraction form
    38,408.24/53,013.24 = 25,012.88/x
  3. Step 3: Cross multiply
    38,408.24x = 53,013.24 × 25,012.88
  4. Step 4: Simplify right side
    38,408.24x = 1,326,013,810.53
  5. Step 5: Solve for x
    x = 1,326,013,810.53/38,408.24
  6. Step 6: Final answer
    x = 34,524.20

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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.