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Finding the Fourth Proportional to 33,705.76, 50,542 and 10,326.56

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Solution

The fourth proportional to 33,705.76, 50,542 and 10,326.56 is: 15,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,705.76 : 50,542 = 10,326.56 : x
  2. Step 2: Convert to fraction form
    33,705.76/50,542 = 10,326.56/x
  3. Step 3: Cross multiply
    33,705.76x = 50,542 × 10,326.56
  4. Step 4: Simplify right side
    33,705.76x = 521,924,995.52
  5. Step 5: Solve for x
    x = 521,924,995.52/33,705.76
  6. Step 6: Final answer
    x = 15,484.74

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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.