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Finding the Fourth Proportional to 71,500.16, 98,668.91 and 39,668.38

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Solution

The fourth proportional to 71,500.16, 98,668.91 and 39,668.38 is: 54,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,500.16 : 98,668.91 = 39,668.38 : x
  2. Step 2: Convert to fraction form
    71,500.16/98,668.91 = 39,668.38/x
  3. Step 3: Cross multiply
    71,500.16x = 98,668.91 × 39,668.38
  4. Step 4: Simplify right side
    71,500.16x = 3,914,035,371.05
  5. Step 5: Solve for x
    x = 3,914,035,371.05/71,500.16
  6. Step 6: Final answer
    x = 54,741.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.