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Finding the Fourth Proportional to 41,705.31, 57,553.70 and 23,800.13

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Solution

The fourth proportional to 41,705.31, 57,553.70 and 23,800.13 is: 32,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705.31 : 57,553.70 = 23,800.13 : x
  2. Step 2: Convert to fraction form
    41,705.31/57,553.70 = 23,800.13/x
  3. Step 3: Cross multiply
    41,705.31x = 57,553.70 × 23,800.13
  4. Step 4: Simplify right side
    41,705.31x = 1,369,785,135.21
  5. Step 5: Solve for x
    x = 1,369,785,135.21/41,705.31
  6. Step 6: Final answer
    x = 32,844.38

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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.