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Finding the Fourth Proportional to 33,710.83, 50,574.47 and 11,221.46

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Solution

The fourth proportional to 33,710.83, 50,574.47 and 11,221.46 is: 16,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.83 : 50,574.47 = 11,221.46 : x
  2. Step 2: Convert to fraction form
    33,710.83/50,574.47 = 11,221.46/x
  3. Step 3: Cross multiply
    33,710.83x = 50,574.47 × 11,221.46
  4. Step 4: Simplify right side
    33,710.83x = 567,519,662.48
  5. Step 5: Solve for x
    x = 567,519,662.48/33,710.83
  6. Step 6: Final answer
    x = 16,834.94

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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.