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Finding the Fourth Proportional to 71,358.26, 107,002.11 and 41,783.54

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Solution

The fourth proportional to 71,358.26, 107,002.11 and 41,783.54 is: 62,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.26 : 107,002.11 = 41,783.54 : x
  2. Step 2: Convert to fraction form
    71,358.26/107,002.11 = 41,783.54/x
  3. Step 3: Cross multiply
    71,358.26x = 107,002.11 × 41,783.54
  4. Step 4: Simplify right side
    71,358.26x = 4,470,926,943.27
  5. Step 5: Solve for x
    x = 4,470,926,943.27/71,358.26
  6. Step 6: Final answer
    x = 62,654.65

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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.