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Finding the Fourth Proportional to 57,684.16, 79,601.56 and 32,189.14

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Solution

The fourth proportional to 57,684.16, 79,601.56 and 32,189.14 is: 44,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684.16 : 79,601.56 = 32,189.14 : x
  2. Step 2: Convert to fraction form
    57,684.16/79,601.56 = 32,189.14/x
  3. Step 3: Cross multiply
    57,684.16x = 79,601.56 × 32,189.14
  4. Step 4: Simplify right side
    57,684.16x = 2,562,305,759.06
  5. Step 5: Solve for x
    x = 2,562,305,759.06/57,684.16
  6. Step 6: Final answer
    x = 44,419.57

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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.