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Finding the Fourth Proportional to 75,793.20, 113,783.40 and 47,713.20

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Solution

The fourth proportional to 75,793.20, 113,783.40 and 47,713.20 is: 71,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,793.20 : 113,783.40 = 47,713.20 : x
  2. Step 2: Convert to fraction form
    75,793.20/113,783.40 = 47,713.20/x
  3. Step 3: Cross multiply
    75,793.20x = 113,783.40 × 47,713.20
  4. Step 4: Simplify right side
    75,793.20x = 5,428,970,120.88
  5. Step 5: Solve for x
    x = 5,428,970,120.88/75,793.20
  6. Step 6: Final answer
    x = 71,628.72

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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.