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Finding the Fourth Proportional to 72,402.80, 108,517.80 and 30,282.80

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Solution

The fourth proportional to 72,402.80, 108,517.80 and 30,282.80 is: 45,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,402.80 : 108,517.80 = 30,282.80 : x
  2. Step 2: Convert to fraction form
    72,402.80/108,517.80 = 30,282.80/x
  3. Step 3: Cross multiply
    72,402.80x = 108,517.80 × 30,282.80
  4. Step 4: Simplify right side
    72,402.80x = 3,286,222,833.84
  5. Step 5: Solve for x
    x = 3,286,222,833.84/72,402.80
  6. Step 6: Final answer
    x = 45,388.06

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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.