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Finding the Fourth Proportional to 76,202.80, 114,223.20 and 36,734.20

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Solution

The fourth proportional to 76,202.80, 114,223.20 and 36,734.20 is: 55,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.80 : 114,223.20 = 36,734.20 : x
  2. Step 2: Convert to fraction form
    76,202.80/114,223.20 = 36,734.20/x
  3. Step 3: Cross multiply
    76,202.80x = 114,223.20 × 36,734.20
  4. Step 4: Simplify right side
    76,202.80x = 4,195,897,873.44
  5. Step 5: Solve for x
    x = 4,195,897,873.44/76,202.80
  6. Step 6: Final answer
    x = 55,062.25

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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.