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Finding the Fourth Proportional to 41,317, 62,200.31 and 37,642.84

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Solution

The fourth proportional to 41,317, 62,200.31 and 37,642.84 is: 56,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,317 : 62,200.31 = 37,642.84 : x
  2. Step 2: Convert to fraction form
    41,317/62,200.31 = 37,642.84/x
  3. Step 3: Cross multiply
    41,317x = 62,200.31 × 37,642.84
  4. Step 4: Simplify right side
    41,317x = 2,341,396,317.28
  5. Step 5: Solve for x
    x = 2,341,396,317.28/41,317
  6. Step 6: Final answer
    x = 56,669.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.