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Finding the Fourth Proportional to 33,178.26, 49,772.28 and 9,801.66

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Solution

The fourth proportional to 33,178.26, 49,772.28 and 9,801.66 is: 14,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.26 : 49,772.28 = 9,801.66 : x
  2. Step 2: Convert to fraction form
    33,178.26/49,772.28 = 9,801.66/x
  3. Step 3: Cross multiply
    33,178.26x = 49,772.28 × 9,801.66
  4. Step 4: Simplify right side
    33,178.26x = 487,850,965.98
  5. Step 5: Solve for x
    x = 487,850,965.98/33,178.26
  6. Step 6: Final answer
    x = 14,703.93

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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.