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Finding the Fourth Proportional to 29,849.25, 41,191.28 and 16,420.38

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Solution

The fourth proportional to 29,849.25, 41,191.28 and 16,420.38 is: 22,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.25 : 41,191.28 = 16,420.38 : x
  2. Step 2: Convert to fraction form
    29,849.25/41,191.28 = 16,420.38/x
  3. Step 3: Cross multiply
    29,849.25x = 41,191.28 × 16,420.38
  4. Step 4: Simplify right side
    29,849.25x = 676,376,388.18
  5. Step 5: Solve for x
    x = 676,376,388.18/29,849.25
  6. Step 6: Final answer
    x = 22,659.74

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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.