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Finding the Fourth Proportional to 82,023.68, 113,185.26 and 46,219.52

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Solution

The fourth proportional to 82,023.68, 113,185.26 and 46,219.52 is: 63,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.68 : 113,185.26 = 46,219.52 : x
  2. Step 2: Convert to fraction form
    82,023.68/113,185.26 = 46,219.52/x
  3. Step 3: Cross multiply
    82,023.68x = 113,185.26 × 46,219.52
  4. Step 4: Simplify right side
    82,023.68x = 5,231,368,388.28
  5. Step 5: Solve for x
    x = 5,231,368,388.28/82,023.68
  6. Step 6: Final answer
    x = 63,778.76

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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.