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Finding the Fourth Proportional to 41,458, 57,214.32 and 22,594.72

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Solution

The fourth proportional to 41,458, 57,214.32 and 22,594.72 is: 31,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458 : 57,214.32 = 22,594.72 : x
  2. Step 2: Convert to fraction form
    41,458/57,214.32 = 22,594.72/x
  3. Step 3: Cross multiply
    41,458x = 57,214.32 × 22,594.72
  4. Step 4: Simplify right side
    41,458x = 1,292,741,540.39
  5. Step 5: Solve for x
    x = 1,292,741,540.39/41,458
  6. Step 6: Final answer
    x = 31,181.96

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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.