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Finding the Fourth Proportional to 35,142.72, 52,713.92 and 8,847.47

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Solution

The fourth proportional to 35,142.72, 52,713.92 and 8,847.47 is: 13,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.72 : 52,713.92 = 8,847.47 : x
  2. Step 2: Convert to fraction form
    35,142.72/52,713.92 = 8,847.47/x
  3. Step 3: Cross multiply
    35,142.72x = 52,713.92 × 8,847.47
  4. Step 4: Simplify right side
    35,142.72x = 466,384,825.78
  5. Step 5: Solve for x
    x = 466,384,825.78/35,142.72
  6. Step 6: Final answer
    x = 13,271.16

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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.