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Finding the Fourth Proportional to 41,047.94, 56,646.78 and 23,143.82

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Solution

The fourth proportional to 41,047.94, 56,646.78 and 23,143.82 is: 31,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,047.94 : 56,646.78 = 23,143.82 : x
  2. Step 2: Convert to fraction form
    41,047.94/56,646.78 = 23,143.82/x
  3. Step 3: Cross multiply
    41,047.94x = 56,646.78 × 23,143.82
  4. Step 4: Simplify right side
    41,047.94x = 1,311,022,879.90
  5. Step 5: Solve for x
    x = 1,311,022,879.90/41,047.94
  6. Step 6: Final answer
    x = 31,938.82

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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.