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Finding the Fourth Proportional to 41,062, 56,665.70 and 22,199.26

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Solution

The fourth proportional to 41,062, 56,665.70 and 22,199.26 is: 30,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,062 : 56,665.70 = 22,199.26 : x
  2. Step 2: Convert to fraction form
    41,062/56,665.70 = 22,199.26/x
  3. Step 3: Cross multiply
    41,062x = 56,665.70 × 22,199.26
  4. Step 4: Simplify right side
    41,062x = 1,257,936,607.38
  5. Step 5: Solve for x
    x = 1,257,936,607.38/41,062
  6. Step 6: Final answer
    x = 30,635.05

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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.