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Finding the Fourth Proportional to 41,382, 57,108.96 and 23,477.04

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Solution

The fourth proportional to 41,382, 57,108.96 and 23,477.04 is: 32,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382 : 57,108.96 = 23,477.04 : x
  2. Step 2: Convert to fraction form
    41,382/57,108.96 = 23,477.04/x
  3. Step 3: Cross multiply
    41,382x = 57,108.96 × 23,477.04
  4. Step 4: Simplify right side
    41,382x = 1,340,749,338.28
  5. Step 5: Solve for x
    x = 1,340,749,338.28/41,382
  6. Step 6: Final answer
    x = 32,399.34

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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.