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Finding the Fourth Proportional to 52,625, 72,622.50 and 30,269

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Solution

The fourth proportional to 52,625, 72,622.50 and 30,269 is: 41,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625 : 72,622.50 = 30,269 : x
  2. Step 2: Convert to fraction form
    52,625/72,622.50 = 30,269/x
  3. Step 3: Cross multiply
    52,625x = 72,622.50 × 30,269
  4. Step 4: Simplify right side
    52,625x = 2,198,210,452.50
  5. Step 5: Solve for x
    x = 2,198,210,452.50/52,625
  6. Step 6: Final answer
    x = 41,771.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.