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Finding the Fourth Proportional to 72,237.20, 108,282.90 and 32,822.60

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Solution

The fourth proportional to 72,237.20, 108,282.90 and 32,822.60 is: 49,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,237.20 : 108,282.90 = 32,822.60 : x
  2. Step 2: Convert to fraction form
    72,237.20/108,282.90 = 32,822.60/x
  3. Step 3: Cross multiply
    72,237.20x = 108,282.90 × 32,822.60
  4. Step 4: Simplify right side
    72,237.20x = 3,554,126,313.54
  5. Step 5: Solve for x
    x = 3,554,126,313.54/72,237.20
  6. Step 6: Final answer
    x = 49,200.78

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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.