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Finding the Fourth Proportional to 71,911.16, 107,915.33 and 25,164.44

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Solution

The fourth proportional to 71,911.16, 107,915.33 and 25,164.44 is: 37,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.16 : 107,915.33 = 25,164.44 : x
  2. Step 2: Convert to fraction form
    71,911.16/107,915.33 = 25,164.44/x
  3. Step 3: Cross multiply
    71,911.16x = 107,915.33 × 25,164.44
  4. Step 4: Simplify right side
    71,911.16x = 2,715,628,370.20
  5. Step 5: Solve for x
    x = 2,715,628,370.20/71,911.16
  6. Step 6: Final answer
    x = 37,763.66

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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.