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Finding the Fourth Proportional to 31,338.46, 47,014.17 and 10,563.58

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Solution

The fourth proportional to 31,338.46, 47,014.17 and 10,563.58 is: 15,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338.46 : 47,014.17 = 10,563.58 : x
  2. Step 2: Convert to fraction form
    31,338.46/47,014.17 = 10,563.58/x
  3. Step 3: Cross multiply
    31,338.46x = 47,014.17 × 10,563.58
  4. Step 4: Simplify right side
    31,338.46x = 496,637,945.93
  5. Step 5: Solve for x
    x = 496,637,945.93/31,338.46
  6. Step 6: Final answer
    x = 15,847.55

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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.