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Finding the Fourth Proportional to 29,874.42, 41,203.08 and 27,862.38

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Solution

The fourth proportional to 29,874.42, 41,203.08 and 27,862.38 is: 38,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.42 : 41,203.08 = 27,862.38 : x
  2. Step 2: Convert to fraction form
    29,874.42/41,203.08 = 27,862.38/x
  3. Step 3: Cross multiply
    29,874.42x = 41,203.08 × 27,862.38
  4. Step 4: Simplify right side
    29,874.42x = 1,148,015,872.13
  5. Step 5: Solve for x
    x = 1,148,015,872.13/29,874.42
  6. Step 6: Final answer
    x = 38,428.06

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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.