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Finding the Fourth Proportional to 71,793.88, 107,688.15 and 29,097.83

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Solution

The fourth proportional to 71,793.88, 107,688.15 and 29,097.83 is: 43,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,793.88 : 107,688.15 = 29,097.83 : x
  2. Step 2: Convert to fraction form
    71,793.88/107,688.15 = 29,097.83/x
  3. Step 3: Cross multiply
    71,793.88x = 107,688.15 × 29,097.83
  4. Step 4: Simplify right side
    71,793.88x = 3,133,491,750.93
  5. Step 5: Solve for x
    x = 3,133,491,750.93/71,793.88
  6. Step 6: Final answer
    x = 43,645.67

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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.