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Finding the Fourth Proportional to 41,363.69, 57,084.12 and 23,464.46

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Solution

The fourth proportional to 41,363.69, 57,084.12 and 23,464.46 is: 32,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,363.69 : 57,084.12 = 23,464.46 : x
  2. Step 2: Convert to fraction form
    41,363.69/57,084.12 = 23,464.46/x
  3. Step 3: Cross multiply
    41,363.69x = 57,084.12 × 23,464.46
  4. Step 4: Simplify right side
    41,363.69x = 1,339,447,966.54
  5. Step 5: Solve for x
    x = 1,339,447,966.54/41,363.69
  6. Step 6: Final answer
    x = 32,382.22

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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.