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Finding the Fourth Proportional to 33,088.57, 49,604.94 and 14,354.48

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Solution

The fourth proportional to 33,088.57, 49,604.94 and 14,354.48 is: 21,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.57 : 49,604.94 = 14,354.48 : x
  2. Step 2: Convert to fraction form
    33,088.57/49,604.94 = 14,354.48/x
  3. Step 3: Cross multiply
    33,088.57x = 49,604.94 × 14,354.48
  4. Step 4: Simplify right side
    33,088.57x = 712,053,243.14
  5. Step 5: Solve for x
    x = 712,053,243.14/33,088.57
  6. Step 6: Final answer
    x = 21,519.62

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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.