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Finding the Fourth Proportional to 33,864.84, 50,802.02 and 14,138.92

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Solution

The fourth proportional to 33,864.84, 50,802.02 and 14,138.92 is: 21,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.84 : 50,802.02 = 14,138.92 : x
  2. Step 2: Convert to fraction form
    33,864.84/50,802.02 = 14,138.92/x
  3. Step 3: Cross multiply
    33,864.84x = 50,802.02 × 14,138.92
  4. Step 4: Simplify right side
    33,864.84x = 718,285,696.62
  5. Step 5: Solve for x
    x = 718,285,696.62/33,864.84
  6. Step 6: Final answer
    x = 21,210.37

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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.