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Finding the Fourth Proportional to 33,054.87, 45,615.72 and 17,947.46

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Solution

The fourth proportional to 33,054.87, 45,615.72 and 17,947.46 is: 24,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.87 : 45,615.72 = 17,947.46 : x
  2. Step 2: Convert to fraction form
    33,054.87/45,615.72 = 17,947.46/x
  3. Step 3: Cross multiply
    33,054.87x = 45,615.72 × 17,947.46
  4. Step 4: Simplify right side
    33,054.87x = 818,686,310.07
  5. Step 5: Solve for x
    x = 818,686,310.07/33,054.87
  6. Step 6: Final answer
    x = 24,767.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.