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Finding the Fourth Proportional to 33,646.75, 50,470.13 and 9,022.75

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Solution

The fourth proportional to 33,646.75, 50,470.13 and 9,022.75 is: 13,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646.75 : 50,470.13 = 9,022.75 : x
  2. Step 2: Convert to fraction form
    33,646.75/50,470.13 = 9,022.75/x
  3. Step 3: Cross multiply
    33,646.75x = 50,470.13 × 9,022.75
  4. Step 4: Simplify right side
    33,646.75x = 455,379,365.46
  5. Step 5: Solve for x
    x = 455,379,365.46/33,646.75
  6. Step 6: Final answer
    x = 13,534.13

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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.