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Finding the Fourth Proportional to 27,174, 37,562.92 and 22,671.52

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Solution

The fourth proportional to 27,174, 37,562.92 and 22,671.52 is: 31,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 37,562.92 = 22,671.52 : x
  2. Step 2: Convert to fraction form
    27,174/37,562.92 = 22,671.52/x
  3. Step 3: Cross multiply
    27,174x = 37,562.92 × 22,671.52
  4. Step 4: Simplify right side
    27,174x = 851,608,492.04
  5. Step 5: Solve for x
    x = 851,608,492.04/27,174
  6. Step 6: Final answer
    x = 31,339.09

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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.