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Finding the Fourth Proportional to 71,627.78, 107,491.03 and 24,880.66

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Solution

The fourth proportional to 71,627.78, 107,491.03 and 24,880.66 is: 37,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,627.78 : 107,491.03 = 24,880.66 : x
  2. Step 2: Convert to fraction form
    71,627.78/107,491.03 = 24,880.66/x
  3. Step 3: Cross multiply
    71,627.78x = 107,491.03 × 24,880.66
  4. Step 4: Simplify right side
    71,627.78x = 2,674,447,770.48
  5. Step 5: Solve for x
    x = 2,674,447,770.48/71,627.78
  6. Step 6: Final answer
    x = 37,338.14

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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.