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Finding the Fourth Proportional to 29,872.68, 41,219.73 and 17,295

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Solution

The fourth proportional to 29,872.68, 41,219.73 and 17,295 is: 23,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.68 : 41,219.73 = 17,295 : x
  2. Step 2: Convert to fraction form
    29,872.68/41,219.73 = 17,295/x
  3. Step 3: Cross multiply
    29,872.68x = 41,219.73 × 17,295
  4. Step 4: Simplify right side
    29,872.68x = 712,895,230.35
  5. Step 5: Solve for x
    x = 712,895,230.35/29,872.68
  6. Step 6: Final answer
    x = 23,864.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.