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Finding the Fourth Proportional to 33,754.32, 50,638.66 and 11,561.74

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Solution

The fourth proportional to 33,754.32, 50,638.66 and 11,561.74 is: 17,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,754.32 : 50,638.66 = 11,561.74 : x
  2. Step 2: Convert to fraction form
    33,754.32/50,638.66 = 11,561.74/x
  3. Step 3: Cross multiply
    33,754.32x = 50,638.66 × 11,561.74
  4. Step 4: Simplify right side
    33,754.32x = 585,471,055.26
  5. Step 5: Solve for x
    x = 585,471,055.26/33,754.32
  6. Step 6: Final answer
    x = 17,345.07

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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.