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Finding the Fourth Proportional to 29,102.58, 43,601 and 22,449.78

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Solution

The fourth proportional to 29,102.58, 43,601 and 22,449.78 is: 33,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102.58 : 43,601 = 22,449.78 : x
  2. Step 2: Convert to fraction form
    29,102.58/43,601 = 22,449.78/x
  3. Step 3: Cross multiply
    29,102.58x = 43,601 × 22,449.78
  4. Step 4: Simplify right side
    29,102.58x = 978,832,857.78
  5. Step 5: Solve for x
    x = 978,832,857.78/29,102.58
  6. Step 6: Final answer
    x = 33,633.89

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1.5x scale

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.