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Finding the Fourth Proportional to 41,137.50, 56,769.78 and 22,274.64

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Solution

The fourth proportional to 41,137.50, 56,769.78 and 22,274.64 is: 30,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137.50 : 56,769.78 = 22,274.64 : x
  2. Step 2: Convert to fraction form
    41,137.50/56,769.78 = 22,274.64/x
  3. Step 3: Cross multiply
    41,137.50x = 56,769.78 × 22,274.64
  4. Step 4: Simplify right side
    41,137.50x = 1,264,526,412.38
  5. Step 5: Solve for x
    x = 1,264,526,412.38/41,137.50
  6. Step 6: Final answer
    x = 30,739.02

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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.