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Finding the Fourth Proportional to 29,074, 43,626.75 and 22,513

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Solution

The fourth proportional to 29,074, 43,626.75 and 22,513 is: 33,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,074 : 43,626.75 = 22,513 : x
  2. Step 2: Convert to fraction form
    29,074/43,626.75 = 22,513/x
  3. Step 3: Cross multiply
    29,074x = 43,626.75 × 22,513
  4. Step 4: Simplify right side
    29,074x = 982,169,022.75
  5. Step 5: Solve for x
    x = 982,169,022.75/29,074
  6. Step 6: Final answer
    x = 33,781.70

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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.