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Finding the Fourth Proportional to 31,611.66, 47,419.91 and 9,423.34

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Solution

The fourth proportional to 31,611.66, 47,419.91 and 9,423.34 is: 14,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.66 : 47,419.91 = 9,423.34 : x
  2. Step 2: Convert to fraction form
    31,611.66/47,419.91 = 9,423.34/x
  3. Step 3: Cross multiply
    31,611.66x = 47,419.91 × 9,423.34
  4. Step 4: Simplify right side
    31,611.66x = 446,853,934.70
  5. Step 5: Solve for x
    x = 446,853,934.70/31,611.66
  6. Step 6: Final answer
    x = 14,135.73

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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.