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Finding the Fourth Proportional to 29,452.50, 40,644.14 and 17,515.60

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Solution

The fourth proportional to 29,452.50, 40,644.14 and 17,515.60 is: 24,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452.50 : 40,644.14 = 17,515.60 : x
  2. Step 2: Convert to fraction form
    29,452.50/40,644.14 = 17,515.60/x
  3. Step 3: Cross multiply
    29,452.50x = 40,644.14 × 17,515.60
  4. Step 4: Simplify right side
    29,452.50x = 711,906,309.40
  5. Step 5: Solve for x
    x = 711,906,309.40/29,452.50
  6. Step 6: Final answer
    x = 24,171.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.