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Finding the Fourth Proportional to 33,211.76, 49,817.54 and 11,026.82

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Solution

The fourth proportional to 33,211.76, 49,817.54 and 11,026.82 is: 16,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.76 : 49,817.54 = 11,026.82 : x
  2. Step 2: Convert to fraction form
    33,211.76/49,817.54 = 11,026.82/x
  3. Step 3: Cross multiply
    33,211.76x = 49,817.54 × 11,026.82
  4. Step 4: Simplify right side
    33,211.76x = 549,329,046.42
  5. Step 5: Solve for x
    x = 549,329,046.42/33,211.76
  6. Step 6: Final answer
    x = 16,540.20

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