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Finding the Fourth Proportional to 33,212.88, 49,822.28 and 11,026.46

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Solution

The fourth proportional to 33,212.88, 49,822.28 and 11,026.46 is: 16,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.88 : 49,822.28 = 11,026.46 : x
  2. Step 2: Convert to fraction form
    33,212.88/49,822.28 = 11,026.46/x
  3. Step 3: Cross multiply
    33,212.88x = 49,822.28 × 11,026.46
  4. Step 4: Simplify right side
    33,212.88x = 549,363,377.53
  5. Step 5: Solve for x
    x = 549,363,377.53/33,212.88
  6. Step 6: Final answer
    x = 16,540.67

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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.