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Finding the Fourth Proportional to 76,523.46, 114,793.92 and 20,365.88

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Solution

The fourth proportional to 76,523.46, 114,793.92 and 20,365.88 is: 30,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,523.46 : 114,793.92 = 20,365.88 : x
  2. Step 2: Convert to fraction form
    76,523.46/114,793.92 = 20,365.88/x
  3. Step 3: Cross multiply
    76,523.46x = 114,793.92 × 20,365.88
  4. Step 4: Simplify right side
    76,523.46x = 2,337,879,199.45
  5. Step 5: Solve for x
    x = 2,337,879,199.45/76,523.46
  6. Step 6: Final answer
    x = 30,551.14

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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.