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Finding the Fourth Proportional to 33,263.50, 49,897.32 and 11,078.86

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Solution

The fourth proportional to 33,263.50, 49,897.32 and 11,078.86 is: 16,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263.50 : 49,897.32 = 11,078.86 : x
  2. Step 2: Convert to fraction form
    33,263.50/49,897.32 = 11,078.86/x
  3. Step 3: Cross multiply
    33,263.50x = 49,897.32 × 11,078.86
  4. Step 4: Simplify right side
    33,263.50x = 552,805,422.66
  5. Step 5: Solve for x
    x = 552,805,422.66/33,263.50
  6. Step 6: Final answer
    x = 16,618.98

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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.