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Finding the Fourth Proportional to 71,812.96, 107,768.64 and 25,065.82

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Solution

The fourth proportional to 71,812.96, 107,768.64 and 25,065.82 is: 37,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812.96 : 107,768.64 = 25,065.82 : x
  2. Step 2: Convert to fraction form
    71,812.96/107,768.64 = 25,065.82/x
  3. Step 3: Cross multiply
    71,812.96x = 107,768.64 × 25,065.82
  4. Step 4: Simplify right side
    71,812.96x = 2,701,309,331.88
  5. Step 5: Solve for x
    x = 2,701,309,331.88/71,812.96
  6. Step 6: Final answer
    x = 37,615.90

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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.