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Finding the Fourth Proportional to 71,845.32, 107,793.90 and 36,801.48

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Solution

The fourth proportional to 71,845.32, 107,793.90 and 36,801.48 is: 55,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,845.32 : 107,793.90 = 36,801.48 : x
  2. Step 2: Convert to fraction form
    71,845.32/107,793.90 = 36,801.48/x
  3. Step 3: Cross multiply
    71,845.32x = 107,793.90 × 36,801.48
  4. Step 4: Simplify right side
    71,845.32x = 3,966,975,054.97
  5. Step 5: Solve for x
    x = 3,966,975,054.97/71,845.32
  6. Step 6: Final answer
    x = 55,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.