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Finding the Fourth Proportional to 41,137.34, 56,769.80 and 22,274.46

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Solution

The fourth proportional to 41,137.34, 56,769.80 and 22,274.46 is: 30,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137.34 : 56,769.80 = 22,274.46 : x
  2. Step 2: Convert to fraction form
    41,137.34/56,769.80 = 22,274.46/x
  3. Step 3: Cross multiply
    41,137.34x = 56,769.80 × 22,274.46
  4. Step 4: Simplify right side
    41,137.34x = 1,264,516,527.94
  5. Step 5: Solve for x
    x = 1,264,516,527.94/41,137.34
  6. Step 6: Final answer
    x = 30,738.90

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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.