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Finding the Fourth Proportional to 33,292.56, 49,895.76 and 13,548

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Solution

The fourth proportional to 33,292.56, 49,895.76 and 13,548 is: 20,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.56 : 49,895.76 = 13,548 : x
  2. Step 2: Convert to fraction form
    33,292.56/49,895.76 = 13,548/x
  3. Step 3: Cross multiply
    33,292.56x = 49,895.76 × 13,548
  4. Step 4: Simplify right side
    33,292.56x = 675,987,756.48
  5. Step 5: Solve for x
    x = 675,987,756.48/33,292.56
  6. Step 6: Final answer
    x = 20,304.47

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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.