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Finding the Fourth Proportional to 49,357.17, 68,112.91 and 27,851.49

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Solution

The fourth proportional to 49,357.17, 68,112.91 and 27,851.49 is: 38,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.17 : 68,112.91 = 27,851.49 : x
  2. Step 2: Convert to fraction form
    49,357.17/68,112.91 = 27,851.49/x
  3. Step 3: Cross multiply
    49,357.17x = 68,112.91 × 27,851.49
  4. Step 4: Simplify right side
    49,357.17x = 1,897,046,031.74
  5. Step 5: Solve for x
    x = 1,897,046,031.74/49,357.17
  6. Step 6: Final answer
    x = 38,435.06

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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.