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Finding the Fourth Proportional to 31,797.60, 47,696.84 and 9,611.16

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Solution

The fourth proportional to 31,797.60, 47,696.84 and 9,611.16 is: 14,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.60 : 47,696.84 = 9,611.16 : x
  2. Step 2: Convert to fraction form
    31,797.60/47,696.84 = 9,611.16/x
  3. Step 3: Cross multiply
    31,797.60x = 47,696.84 × 9,611.16
  4. Step 4: Simplify right side
    31,797.60x = 458,421,960.73
  5. Step 5: Solve for x
    x = 458,421,960.73/31,797.60
  6. Step 6: Final answer
    x = 14,416.87

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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.