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Finding the Fourth Proportional to 49,357.49, 68,113.34 and 27,851.79

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Solution

The fourth proportional to 49,357.49, 68,113.34 and 27,851.79 is: 38,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.49 : 68,113.34 = 27,851.79 : x
  2. Step 2: Convert to fraction form
    49,357.49/68,113.34 = 27,851.79/x
  3. Step 3: Cross multiply
    49,357.49x = 68,113.34 × 27,851.79
  4. Step 4: Simplify right side
    49,357.49x = 1,897,078,511.51
  5. Step 5: Solve for x
    x = 1,897,078,511.51/49,357.49
  6. Step 6: Final answer
    x = 38,435.48

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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.