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Finding the Fourth Proportional to 27,174, 37,562.88 and 22,671.48

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Solution

The fourth proportional to 27,174, 37,562.88 and 22,671.48 is: 31,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 37,562.88 = 22,671.48 : x
  2. Step 2: Convert to fraction form
    27,174/37,562.88 = 22,671.48/x
  3. Step 3: Cross multiply
    27,174x = 37,562.88 × 22,671.48
  4. Step 4: Simplify right side
    27,174x = 851,606,082.66
  5. Step 5: Solve for x
    x = 851,606,082.66/27,174
  6. Step 6: Final answer
    x = 31,339.00

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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.