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Finding the Fourth Proportional to 52,147.28, 78,213 and 17,086.16

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Solution

The fourth proportional to 52,147.28, 78,213 and 17,086.16 is: 25,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.28 : 78,213 = 17,086.16 : x
  2. Step 2: Convert to fraction form
    52,147.28/78,213 = 17,086.16/x
  3. Step 3: Cross multiply
    52,147.28x = 78,213 × 17,086.16
  4. Step 4: Simplify right side
    52,147.28x = 1,336,359,832.08
  5. Step 5: Solve for x
    x = 1,336,359,832.08/52,147.28
  6. Step 6: Final answer
    x = 25,626.64

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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.