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Finding the Fourth Proportional to 29,224.32, 43,830 and 17,540.88

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Solution

The fourth proportional to 29,224.32, 43,830 and 17,540.88 is: 26,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.32 : 43,830 = 17,540.88 : x
  2. Step 2: Convert to fraction form
    29,224.32/43,830 = 17,540.88/x
  3. Step 3: Cross multiply
    29,224.32x = 43,830 × 17,540.88
  4. Step 4: Simplify right side
    29,224.32x = 768,816,770.40
  5. Step 5: Solve for x
    x = 768,816,770.40/29,224.32
  6. Step 6: Final answer
    x = 26,307.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.