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Finding the Fourth Proportional to 49,351.68, 68,091.84 and 28,123.20

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Solution

The fourth proportional to 49,351.68, 68,091.84 and 28,123.20 is: 38,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351.68 : 68,091.84 = 28,123.20 : x
  2. Step 2: Convert to fraction form
    49,351.68/68,091.84 = 28,123.20/x
  3. Step 3: Cross multiply
    49,351.68x = 68,091.84 × 28,123.20
  4. Step 4: Simplify right side
    49,351.68x = 1,914,960,434.69
  5. Step 5: Solve for x
    x = 1,914,960,434.69/49,351.68
  6. Step 6: Final answer
    x = 38,802.34

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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.