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Finding the Fourth Proportional to 38,251.52, 52,788.56 and 21,257

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Solution

The fourth proportional to 38,251.52, 52,788.56 and 21,257 is: 29,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,251.52 : 52,788.56 = 21,257 : x
  2. Step 2: Convert to fraction form
    38,251.52/52,788.56 = 21,257/x
  3. Step 3: Cross multiply
    38,251.52x = 52,788.56 × 21,257
  4. Step 4: Simplify right side
    38,251.52x = 1,122,126,419.92
  5. Step 5: Solve for x
    x = 1,122,126,419.92/38,251.52
  6. Step 6: Final answer
    x = 29,335.47

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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.