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Finding the Fourth Proportional to 41,313.24, 57,012.66 and 24,543

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Solution

The fourth proportional to 41,313.24, 57,012.66 and 24,543 is: 33,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,313.24 : 57,012.66 = 24,543 : x
  2. Step 2: Convert to fraction form
    41,313.24/57,012.66 = 24,543/x
  3. Step 3: Cross multiply
    41,313.24x = 57,012.66 × 24,543
  4. Step 4: Simplify right side
    41,313.24x = 1,399,261,714.38
  5. Step 5: Solve for x
    x = 1,399,261,714.38/41,313.24
  6. Step 6: Final answer
    x = 33,869.57

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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.