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Finding the Fourth Proportional to 71,812.80, 107,768.42 and 25,065.67

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Solution

The fourth proportional to 71,812.80, 107,768.42 and 25,065.67 is: 37,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812.80 : 107,768.42 = 25,065.67 : x
  2. Step 2: Convert to fraction form
    71,812.80/107,768.42 = 25,065.67/x
  3. Step 3: Cross multiply
    71,812.80x = 107,768.42 × 25,065.67
  4. Step 4: Simplify right side
    71,812.80x = 2,701,287,652.14
  5. Step 5: Solve for x
    x = 2,701,287,652.14/71,812.80
  6. Step 6: Final answer
    x = 37,615.68

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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.