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Finding the Fourth Proportional to 27,761.91, 41,642.88 and 6,985.41

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Solution

The fourth proportional to 27,761.91, 41,642.88 and 6,985.41 is: 10,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.91 : 41,642.88 = 6,985.41 : x
  2. Step 2: Convert to fraction form
    27,761.91/41,642.88 = 6,985.41/x
  3. Step 3: Cross multiply
    27,761.91x = 41,642.88 × 6,985.41
  4. Step 4: Simplify right side
    27,761.91x = 290,892,408.02
  5. Step 5: Solve for x
    x = 290,892,408.02/27,761.91
  6. Step 6: Final answer
    x = 10,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.