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Finding the Fourth Proportional to 29,073, 43,625.25 and 22,512

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Solution

The fourth proportional to 29,073, 43,625.25 and 22,512 is: 33,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,073 : 43,625.25 = 22,512 : x
  2. Step 2: Convert to fraction form
    29,073/43,625.25 = 22,512/x
  3. Step 3: Cross multiply
    29,073x = 43,625.25 × 22,512
  4. Step 4: Simplify right side
    29,073x = 982,091,628
  5. Step 5: Solve for x
    x = 982,091,628/29,073
  6. Step 6: Final answer
    x = 33,780.20

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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.