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Finding the Fourth Proportional to 71,564.69, 107,183.53 and 34,151.03

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Solution

The fourth proportional to 71,564.69, 107,183.53 and 34,151.03 is: 51,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.69 : 107,183.53 = 34,151.03 : x
  2. Step 2: Convert to fraction form
    71,564.69/107,183.53 = 34,151.03/x
  3. Step 3: Cross multiply
    71,564.69x = 107,183.53 × 34,151.03
  4. Step 4: Simplify right side
    71,564.69x = 3,660,428,508.18
  5. Step 5: Solve for x
    x = 3,660,428,508.18/71,564.69
  6. Step 6: Final answer
    x = 51,148.53

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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.