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Finding the Fourth Proportional to 33,151.24, 49,657.74 and 14,696.20

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Solution

The fourth proportional to 33,151.24, 49,657.74 and 14,696.20 is: 22,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.24 : 49,657.74 = 14,696.20 : x
  2. Step 2: Convert to fraction form
    33,151.24/49,657.74 = 14,696.20/x
  3. Step 3: Cross multiply
    33,151.24x = 49,657.74 × 14,696.20
  4. Step 4: Simplify right side
    33,151.24x = 729,780,078.59
  5. Step 5: Solve for x
    x = 729,780,078.59/33,151.24
  6. Step 6: Final answer
    x = 22,013.66

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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.