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Finding the Fourth Proportional to 29,170.40, 43,766.40 and 9,449.60

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Solution

The fourth proportional to 29,170.40, 43,766.40 and 9,449.60 is: 14,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170.40 : 43,766.40 = 9,449.60 : x
  2. Step 2: Convert to fraction form
    29,170.40/43,766.40 = 9,449.60/x
  3. Step 3: Cross multiply
    29,170.40x = 43,766.40 × 9,449.60
  4. Step 4: Simplify right side
    29,170.40x = 413,574,973.44
  5. Step 5: Solve for x
    x = 413,574,973.44/29,170.40
  6. Step 6: Final answer
    x = 14,177.90

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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.