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Finding the Fourth Proportional to 49,434.48, 68,209.20 and 28,213.20

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Solution

The fourth proportional to 49,434.48, 68,209.20 and 28,213.20 is: 38,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434.48 : 68,209.20 = 28,213.20 : x
  2. Step 2: Convert to fraction form
    49,434.48/68,209.20 = 28,213.20/x
  3. Step 3: Cross multiply
    49,434.48x = 68,209.20 × 28,213.20
  4. Step 4: Simplify right side
    49,434.48x = 1,924,399,801.44
  5. Step 5: Solve for x
    x = 1,924,399,801.44/49,434.48
  6. Step 6: Final answer
    x = 38,928.29

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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.