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Finding the Fourth Proportional to 31,758.42, 47,639.66 and 8,384.25

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Solution

The fourth proportional to 31,758.42, 47,639.66 and 8,384.25 is: 12,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.42 : 47,639.66 = 8,384.25 : x
  2. Step 2: Convert to fraction form
    31,758.42/47,639.66 = 8,384.25/x
  3. Step 3: Cross multiply
    31,758.42x = 47,639.66 × 8,384.25
  4. Step 4: Simplify right side
    31,758.42x = 399,422,777.43
  5. Step 5: Solve for x
    x = 399,422,777.43/31,758.42
  6. Step 6: Final answer
    x = 12,576.91

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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.