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Finding the Fourth Proportional to 38,572, 53,273.10 and 25,974.88

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Solution

The fourth proportional to 38,572, 53,273.10 and 25,974.88 is: 35,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572 : 53,273.10 = 25,974.88 : x
  2. Step 2: Convert to fraction form
    38,572/53,273.10 = 25,974.88/x
  3. Step 3: Cross multiply
    38,572x = 53,273.10 × 25,974.88
  4. Step 4: Simplify right side
    38,572x = 1,383,762,379.73
  5. Step 5: Solve for x
    x = 1,383,762,379.73/38,572
  6. Step 6: Final answer
    x = 35,874.79

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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.