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Finding the Fourth Proportional to 41,189.88, 56,841.98 and 22,327

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Solution

The fourth proportional to 41,189.88, 56,841.98 and 22,327 is: 30,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189.88 : 56,841.98 = 22,327 : x
  2. Step 2: Convert to fraction form
    41,189.88/56,841.98 = 22,327/x
  3. Step 3: Cross multiply
    41,189.88x = 56,841.98 × 22,327
  4. Step 4: Simplify right side
    41,189.88x = 1,269,110,887.46
  5. Step 5: Solve for x
    x = 1,269,110,887.46/41,189.88
  6. Step 6: Final answer
    x = 30,811.23

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