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Finding the Fourth Proportional to 38,013.49, 52,456.50 and 21,016.75

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Solution

The fourth proportional to 38,013.49, 52,456.50 and 21,016.75 is: 29,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.49 : 52,456.50 = 21,016.75 : x
  2. Step 2: Convert to fraction form
    38,013.49/52,456.50 = 21,016.75/x
  3. Step 3: Cross multiply
    38,013.49x = 52,456.50 × 21,016.75
  4. Step 4: Simplify right side
    38,013.49x = 1,102,465,146.38
  5. Step 5: Solve for x
    x = 1,102,465,146.38/38,013.49
  6. Step 6: Final answer
    x = 29,001.95

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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.