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Finding the Fourth Proportional to 31,611.39, 47,416.61 and 9,424.86

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Solution

The fourth proportional to 31,611.39, 47,416.61 and 9,424.86 is: 14,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.39 : 47,416.61 = 9,424.86 : x
  2. Step 2: Convert to fraction form
    31,611.39/47,416.61 = 9,424.86/x
  3. Step 3: Cross multiply
    31,611.39x = 47,416.61 × 9,424.86
  4. Step 4: Simplify right side
    31,611.39x = 446,894,626.72
  5. Step 5: Solve for x
    x = 446,894,626.72/31,611.39
  6. Step 6: Final answer
    x = 14,137.14

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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.