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Finding the Fourth Proportional to 41,130.60, 56,760 and 22,267.80

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Solution

The fourth proportional to 41,130.60, 56,760 and 22,267.80 is: 30,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.60 : 56,760 = 22,267.80 : x
  2. Step 2: Convert to fraction form
    41,130.60/56,760 = 22,267.80/x
  3. Step 3: Cross multiply
    41,130.60x = 56,760 × 22,267.80
  4. Step 4: Simplify right side
    41,130.60x = 1,263,920,328
  5. Step 5: Solve for x
    x = 1,263,920,328/41,130.60
  6. Step 6: Final answer
    x = 30,729.44

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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.