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Finding the Fourth Proportional to 33,293.56, 49,897.26 and 13,549

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Solution

The fourth proportional to 33,293.56, 49,897.26 and 13,549 is: 20,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293.56 : 49,897.26 = 13,549 : x
  2. Step 2: Convert to fraction form
    33,293.56/49,897.26 = 13,549/x
  3. Step 3: Cross multiply
    33,293.56x = 49,897.26 × 13,549
  4. Step 4: Simplify right side
    33,293.56x = 676,057,975.74
  5. Step 5: Solve for x
    x = 676,057,975.74/33,293.56
  6. Step 6: Final answer
    x = 20,305.97

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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.