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Finding the Fourth Proportional to 33,151.77, 49,706.25 and 14,188.77

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Solution

The fourth proportional to 33,151.77, 49,706.25 and 14,188.77 is: 21,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.77 : 49,706.25 = 14,188.77 : x
  2. Step 2: Convert to fraction form
    33,151.77/49,706.25 = 14,188.77/x
  3. Step 3: Cross multiply
    33,151.77x = 49,706.25 × 14,188.77
  4. Step 4: Simplify right side
    33,151.77x = 705,270,548.81
  5. Step 5: Solve for x
    x = 705,270,548.81/33,151.77
  6. Step 6: Final answer
    x = 21,273.99

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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.