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Finding the Fourth Proportional to 29,672.46, 40,934.97 and 17,729.82

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Solution

The fourth proportional to 29,672.46, 40,934.97 and 17,729.82 is: 24,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.46 : 40,934.97 = 17,729.82 : x
  2. Step 2: Convert to fraction form
    29,672.46/40,934.97 = 17,729.82/x
  3. Step 3: Cross multiply
    29,672.46x = 40,934.97 × 17,729.82
  4. Step 4: Simplify right side
    29,672.46x = 725,769,649.81
  5. Step 5: Solve for x
    x = 725,769,649.81/29,672.46
  6. Step 6: Final answer
    x = 24,459.37

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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.