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Finding the Fourth Proportional to 41,520.82, 57,298.74 and 23,619.30

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Solution

The fourth proportional to 41,520.82, 57,298.74 and 23,619.30 is: 32,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520.82 : 57,298.74 = 23,619.30 : x
  2. Step 2: Convert to fraction form
    41,520.82/57,298.74 = 23,619.30/x
  3. Step 3: Cross multiply
    41,520.82x = 57,298.74 × 23,619.30
  4. Step 4: Simplify right side
    41,520.82x = 1,353,356,129.68
  5. Step 5: Solve for x
    x = 1,353,356,129.68/41,520.82
  6. Step 6: Final answer
    x = 32,594.64

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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.