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Finding the Fourth Proportional to 33,019.96, 49,542.90 and 14,539

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Solution

The fourth proportional to 33,019.96, 49,542.90 and 14,539 is: 21,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.96 : 49,542.90 = 14,539 : x
  2. Step 2: Convert to fraction form
    33,019.96/49,542.90 = 14,539/x
  3. Step 3: Cross multiply
    33,019.96x = 49,542.90 × 14,539
  4. Step 4: Simplify right side
    33,019.96x = 720,304,223.10
  5. Step 5: Solve for x
    x = 720,304,223.10/33,019.96
  6. Step 6: Final answer
    x = 21,814.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.