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Finding the Fourth Proportional to 75,793.70, 113,784.15 and 47,713.70

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Solution

The fourth proportional to 75,793.70, 113,784.15 and 47,713.70 is: 71,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,793.70 : 113,784.15 = 47,713.70 : x
  2. Step 2: Convert to fraction form
    75,793.70/113,784.15 = 47,713.70/x
  3. Step 3: Cross multiply
    75,793.70x = 113,784.15 × 47,713.70
  4. Step 4: Simplify right side
    75,793.70x = 5,429,062,797.86
  5. Step 5: Solve for x
    x = 5,429,062,797.86/75,793.70
  6. Step 6: Final answer
    x = 71,629.47

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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.