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Finding the Fourth Proportional to 41,369.94, 61,977.15 and 20,543.22

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Solution

The fourth proportional to 41,369.94, 61,977.15 and 20,543.22 is: 30,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,369.94 : 61,977.15 = 20,543.22 : x
  2. Step 2: Convert to fraction form
    41,369.94/61,977.15 = 20,543.22/x
  3. Step 3: Cross multiply
    41,369.94x = 61,977.15 × 20,543.22
  4. Step 4: Simplify right side
    41,369.94x = 1,273,210,227.42
  5. Step 5: Solve for x
    x = 1,273,210,227.42/41,369.94
  6. Step 6: Final answer
    x = 30,776.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.