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Finding the Fourth Proportional to 31,896.44, 47,847.08 and 9,711.72

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Solution

The fourth proportional to 31,896.44, 47,847.08 and 9,711.72 is: 14,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.44 : 47,847.08 = 9,711.72 : x
  2. Step 2: Convert to fraction form
    31,896.44/47,847.08 = 9,711.72/x
  3. Step 3: Cross multiply
    31,896.44x = 47,847.08 × 9,711.72
  4. Step 4: Simplify right side
    31,896.44x = 464,677,443.78
  5. Step 5: Solve for x
    x = 464,677,443.78/31,896.44
  6. Step 6: Final answer
    x = 14,568.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.