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Finding the Fourth Proportional to 45,167.78, 67,793.26 and 22,997

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Solution

The fourth proportional to 45,167.78, 67,793.26 and 22,997 is: 34,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,167.78 : 67,793.26 = 22,997 : x
  2. Step 2: Convert to fraction form
    45,167.78/67,793.26 = 22,997/x
  3. Step 3: Cross multiply
    45,167.78x = 67,793.26 × 22,997
  4. Step 4: Simplify right side
    45,167.78x = 1,559,041,600.22
  5. Step 5: Solve for x
    x = 1,559,041,600.22/45,167.78
  6. Step 6: Final answer
    x = 34,516.68

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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.