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Finding the Fourth Proportional to 29,729, 41,024.78 and 17,799

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Solution

The fourth proportional to 29,729, 41,024.78 and 17,799 is: 24,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729 : 41,024.78 = 17,799 : x
  2. Step 2: Convert to fraction form
    29,729/41,024.78 = 17,799/x
  3. Step 3: Cross multiply
    29,729x = 41,024.78 × 17,799
  4. Step 4: Simplify right side
    29,729x = 730,200,059.22
  5. Step 5: Solve for x
    x = 730,200,059.22/29,729
  6. Step 6: Final answer
    x = 24,561.88

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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.