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Finding the Fourth Proportional to 47,857.32, 71,777.34 and 16,701.48

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Solution

The fourth proportional to 47,857.32, 71,777.34 and 16,701.48 is: 25,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857.32 : 71,777.34 = 16,701.48 : x
  2. Step 2: Convert to fraction form
    47,857.32/71,777.34 = 16,701.48/x
  3. Step 3: Cross multiply
    47,857.32x = 71,777.34 × 16,701.48
  4. Step 4: Simplify right side
    47,857.32x = 1,198,787,808.46
  5. Step 5: Solve for x
    x = 1,198,787,808.46/47,857.32
  6. Step 6: Final answer
    x = 25,049.20

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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.