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Finding the Fourth Proportional to 33,019.26, 49,522.20 and 9,328.92

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Solution

The fourth proportional to 33,019.26, 49,522.20 and 9,328.92 is: 13,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.26 : 49,522.20 = 9,328.92 : x
  2. Step 2: Convert to fraction form
    33,019.26/49,522.20 = 9,328.92/x
  3. Step 3: Cross multiply
    33,019.26x = 49,522.20 × 9,328.92
  4. Step 4: Simplify right side
    33,019.26x = 461,988,642.02
  5. Step 5: Solve for x
    x = 461,988,642.02/33,019.26
  6. Step 6: Final answer
    x = 13,991.49

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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.