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Finding the Fourth Proportional to 33,244.84, 49,838.10 and 13,539.97

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Solution

The fourth proportional to 33,244.84, 49,838.10 and 13,539.97 is: 20,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,244.84 : 49,838.10 = 13,539.97 : x
  2. Step 2: Convert to fraction form
    33,244.84/49,838.10 = 13,539.97/x
  3. Step 3: Cross multiply
    33,244.84x = 49,838.10 × 13,539.97
  4. Step 4: Simplify right side
    33,244.84x = 674,806,378.86
  5. Step 5: Solve for x
    x = 674,806,378.86/33,244.84
  6. Step 6: Final answer
    x = 20,298.08

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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.