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Finding the Fourth Proportional to 35,721, 49,277.97 and 25,116.48

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Solution

The fourth proportional to 35,721, 49,277.97 and 25,116.48 is: 34,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 49,277.97 = 25,116.48 : x
  2. Step 2: Convert to fraction form
    35,721/49,277.97 = 25,116.48/x
  3. Step 3: Cross multiply
    35,721x = 49,277.97 × 25,116.48
  4. Step 4: Simplify right side
    35,721x = 1,237,689,147.95
  5. Step 5: Solve for x
    x = 1,237,689,147.95/35,721
  6. Step 6: Final answer
    x = 34,648.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.