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Finding the Fourth Proportional to 71,706.78, 107,559.30 and 32,236.02

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Solution

The fourth proportional to 71,706.78, 107,559.30 and 32,236.02 is: 48,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.78 : 107,559.30 = 32,236.02 : x
  2. Step 2: Convert to fraction form
    71,706.78/107,559.30 = 32,236.02/x
  3. Step 3: Cross multiply
    71,706.78x = 107,559.30 × 32,236.02
  4. Step 4: Simplify right side
    71,706.78x = 3,467,283,745.99
  5. Step 5: Solve for x
    x = 3,467,283,745.99/71,706.78
  6. Step 6: Final answer
    x = 48,353.64

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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.