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Finding the Fourth Proportional to 71,611.71, 107,447.91 and 38,323.14

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Solution

The fourth proportional to 71,611.71, 107,447.91 and 38,323.14 is: 57,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,611.71 : 107,447.91 = 38,323.14 : x
  2. Step 2: Convert to fraction form
    71,611.71/107,447.91 = 38,323.14/x
  3. Step 3: Cross multiply
    71,611.71x = 107,447.91 × 38,323.14
  4. Step 4: Simplify right side
    71,611.71x = 4,117,741,297.64
  5. Step 5: Solve for x
    x = 4,117,741,297.64/71,611.71
  6. Step 6: Final answer
    x = 57,500.95

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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.