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Finding the Fourth Proportional to 49,304.64, 68,032.80 and 28,081.20

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Solution

The fourth proportional to 49,304.64, 68,032.80 and 28,081.20 is: 38,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,304.64 : 68,032.80 = 28,081.20 : x
  2. Step 2: Convert to fraction form
    49,304.64/68,032.80 = 28,081.20/x
  3. Step 3: Cross multiply
    49,304.64x = 68,032.80 × 28,081.20
  4. Step 4: Simplify right side
    49,304.64x = 1,910,442,663.36
  5. Step 5: Solve for x
    x = 1,910,442,663.36/49,304.64
  6. Step 6: Final answer
    x = 38,747.73

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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.