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Finding the Fourth Proportional to 41,694.96, 57,538.36 and 22,574.58

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Solution

The fourth proportional to 41,694.96, 57,538.36 and 22,574.58 is: 31,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,694.96 : 57,538.36 = 22,574.58 : x
  2. Step 2: Convert to fraction form
    41,694.96/57,538.36 = 22,574.58/x
  3. Step 3: Cross multiply
    41,694.96x = 57,538.36 × 22,574.58
  4. Step 4: Simplify right side
    41,694.96x = 1,298,904,214.51
  5. Step 5: Solve for x
    x = 1,298,904,214.51/41,694.96
  6. Step 6: Final answer
    x = 31,152.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.