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Finding the Fourth Proportional to 33,254.25, 49,883.49 and 13,522.02

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Solution

The fourth proportional to 33,254.25, 49,883.49 and 13,522.02 is: 20,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.25 : 49,883.49 = 13,522.02 : x
  2. Step 2: Convert to fraction form
    33,254.25/49,883.49 = 13,522.02/x
  3. Step 3: Cross multiply
    33,254.25x = 49,883.49 × 13,522.02
  4. Step 4: Simplify right side
    33,254.25x = 674,525,549.45
  5. Step 5: Solve for x
    x = 674,525,549.45/33,254.25
  6. Step 6: Final answer
    x = 20,283.89

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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.