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Finding the Fourth Proportional to 47,697.54, 71,566.97 and 22,737.80

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Solution

The fourth proportional to 47,697.54, 71,566.97 and 22,737.80 is: 34,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.54 : 71,566.97 = 22,737.80 : x
  2. Step 2: Convert to fraction form
    47,697.54/71,566.97 = 22,737.80/x
  3. Step 3: Cross multiply
    47,697.54x = 71,566.97 × 22,737.80
  4. Step 4: Simplify right side
    47,697.54x = 1,627,274,978.94
  5. Step 5: Solve for x
    x = 1,627,274,978.94/47,697.54
  6. Step 6: Final answer
    x = 34,116.54

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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.