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Finding the Fourth Proportional to 82,832.22, 114,309 and 47,022.87

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Solution

The fourth proportional to 82,832.22, 114,309 and 47,022.87 is: 64,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.22 : 114,309 = 47,022.87 : x
  2. Step 2: Convert to fraction form
    82,832.22/114,309 = 47,022.87/x
  3. Step 3: Cross multiply
    82,832.22x = 114,309 × 47,022.87
  4. Step 4: Simplify right side
    82,832.22x = 5,375,137,246.83
  5. Step 5: Solve for x
    x = 5,375,137,246.83/82,832.22
  6. Step 6: Final answer
    x = 64,891.87

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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.