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Finding the Fourth Proportional to 71,760.50, 107,668.10 and 32,308.54

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Solution

The fourth proportional to 71,760.50, 107,668.10 and 32,308.54 is: 48,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.50 : 107,668.10 = 32,308.54 : x
  2. Step 2: Convert to fraction form
    71,760.50/107,668.10 = 32,308.54/x
  3. Step 3: Cross multiply
    71,760.50x = 107,668.10 × 32,308.54
  4. Step 4: Simplify right side
    71,760.50x = 3,478,599,115.57
  5. Step 5: Solve for x
    x = 3,478,599,115.57/71,760.50
  6. Step 6: Final answer
    x = 48,475.12

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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.