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Finding the Fourth Proportional to 33,838.49, 50,776.10 and 14,118.77

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Solution

The fourth proportional to 33,838.49, 50,776.10 and 14,118.77 is: 21,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.49 : 50,776.10 = 14,118.77 : x
  2. Step 2: Convert to fraction form
    33,838.49/50,776.10 = 14,118.77/x
  3. Step 3: Cross multiply
    33,838.49x = 50,776.10 × 14,118.77
  4. Step 4: Simplify right side
    33,838.49x = 716,896,006.80
  5. Step 5: Solve for x
    x = 716,896,006.80/33,838.49
  6. Step 6: Final answer
    x = 21,185.82

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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.