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Finding the Fourth Proportional to 27,380.38, 37,790.82 and 17,302.42

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Solution

The fourth proportional to 27,380.38, 37,790.82 and 17,302.42 is: 23,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.38 : 37,790.82 = 17,302.42 : x
  2. Step 2: Convert to fraction form
    27,380.38/37,790.82 = 17,302.42/x
  3. Step 3: Cross multiply
    27,380.38x = 37,790.82 × 17,302.42
  4. Step 4: Simplify right side
    27,380.38x = 653,872,639.78
  5. Step 5: Solve for x
    x = 653,872,639.78/27,380.38
  6. Step 6: Final answer
    x = 23,881.07

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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.