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Finding the Fourth Proportional to 29,735.35, 41,031.92 and 17,798.43

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Solution

The fourth proportional to 29,735.35, 41,031.92 and 17,798.43 is: 24,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735.35 : 41,031.92 = 17,798.43 : x
  2. Step 2: Convert to fraction form
    29,735.35/41,031.92 = 17,798.43/x
  3. Step 3: Cross multiply
    29,735.35x = 41,031.92 × 17,798.43
  4. Step 4: Simplify right side
    29,735.35x = 730,303,854.14
  5. Step 5: Solve for x
    x = 730,303,854.14/29,735.35
  6. Step 6: Final answer
    x = 24,560.12

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