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Finding the Fourth Proportional to 35,523.28, 53,284.92 and 12,149.92

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Solution

The fourth proportional to 35,523.28, 53,284.92 and 12,149.92 is: 18,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.28 : 53,284.92 = 12,149.92 : x
  2. Step 2: Convert to fraction form
    35,523.28/53,284.92 = 12,149.92/x
  3. Step 3: Cross multiply
    35,523.28x = 53,284.92 × 12,149.92
  4. Step 4: Simplify right side
    35,523.28x = 647,407,515.21
  5. Step 5: Solve for x
    x = 647,407,515.21/35,523.28
  6. Step 6: Final answer
    x = 18,224.88

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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.