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Finding the Fourth Proportional to 76,191.74, 114,305.85 and 31,793.79

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Solution

The fourth proportional to 76,191.74, 114,305.85 and 31,793.79 is: 47,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191.74 : 114,305.85 = 31,793.79 : x
  2. Step 2: Convert to fraction form
    76,191.74/114,305.85 = 31,793.79/x
  3. Step 3: Cross multiply
    76,191.74x = 114,305.85 × 31,793.79
  4. Step 4: Simplify right side
    76,191.74x = 3,634,216,190.67
  5. Step 5: Solve for x
    x = 3,634,216,190.67/76,191.74
  6. Step 6: Final answer
    x = 47,698.30

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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.