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Finding the Fourth Proportional to 33,574.68, 50,365.18 and 9,882.24

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Solution

The fourth proportional to 33,574.68, 50,365.18 and 9,882.24 is: 14,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.68 : 50,365.18 = 9,882.24 : x
  2. Step 2: Convert to fraction form
    33,574.68/50,365.18 = 9,882.24/x
  3. Step 3: Cross multiply
    33,574.68x = 50,365.18 × 9,882.24
  4. Step 4: Simplify right side
    33,574.68x = 497,720,796.40
  5. Step 5: Solve for x
    x = 497,720,796.40/33,574.68
  6. Step 6: Final answer
    x = 14,824.29

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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.