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Finding the Fourth Proportional to 41,187.09, 56,838.13 and 22,324.21

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Solution

The fourth proportional to 41,187.09, 56,838.13 and 22,324.21 is: 30,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,187.09 : 56,838.13 = 22,324.21 : x
  2. Step 2: Convert to fraction form
    41,187.09/56,838.13 = 22,324.21/x
  3. Step 3: Cross multiply
    41,187.09x = 56,838.13 × 22,324.21
  4. Step 4: Simplify right side
    41,187.09x = 1,268,866,350.13
  5. Step 5: Solve for x
    x = 1,268,866,350.13/41,187.09
  6. Step 6: Final answer
    x = 30,807.38

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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.