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Finding the Fourth Proportional to 27,671.80, 38,176.23 and 17,042.98

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Solution

The fourth proportional to 27,671.80, 38,176.23 and 17,042.98 is: 23,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.80 : 38,176.23 = 17,042.98 : x
  2. Step 2: Convert to fraction form
    27,671.80/38,176.23 = 17,042.98/x
  3. Step 3: Cross multiply
    27,671.80x = 38,176.23 × 17,042.98
  4. Step 4: Simplify right side
    27,671.80x = 650,636,724.37
  5. Step 5: Solve for x
    x = 650,636,724.37/27,671.80
  6. Step 6: Final answer
    x = 23,512.63

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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.