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Finding the Fourth Proportional to 31,628.87, 47,472 and 16,850.21

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Solution

The fourth proportional to 31,628.87, 47,472 and 16,850.21 is: 25,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.87 : 47,472 = 16,850.21 : x
  2. Step 2: Convert to fraction form
    31,628.87/47,472 = 16,850.21/x
  3. Step 3: Cross multiply
    31,628.87x = 47,472 × 16,850.21
  4. Step 4: Simplify right side
    31,628.87x = 799,912,931.76
  5. Step 5: Solve for x
    x = 799,912,931.76/31,628.87
  6. Step 6: Final answer
    x = 25,290.60

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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.