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Finding the Fourth Proportional to 27,243, 37,570.38 and 17,672.92

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Solution

The fourth proportional to 27,243, 37,570.38 and 17,672.92 is: 24,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 37,570.38 = 17,672.92 : x
  2. Step 2: Convert to fraction form
    27,243/37,570.38 = 17,672.92/x
  3. Step 3: Cross multiply
    27,243x = 37,570.38 × 17,672.92
  4. Step 4: Simplify right side
    27,243x = 663,978,320.11
  5. Step 5: Solve for x
    x = 663,978,320.11/27,243
  6. Step 6: Final answer
    x = 24,372.44

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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.