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Finding the Fourth Proportional to 33,838.40, 50,717.10 and 14,106.80

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Solution

The fourth proportional to 33,838.40, 50,717.10 and 14,106.80 is: 21,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.40 : 50,717.10 = 14,106.80 : x
  2. Step 2: Convert to fraction form
    33,838.40/50,717.10 = 14,106.80/x
  3. Step 3: Cross multiply
    33,838.40x = 50,717.10 × 14,106.80
  4. Step 4: Simplify right side
    33,838.40x = 715,455,986.28
  5. Step 5: Solve for x
    x = 715,455,986.28/33,838.40
  6. Step 6: Final answer
    x = 21,143.32

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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.