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Finding the Fourth Proportional to 82,959.36, 114,489.36 and 47,149.44

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Solution

The fourth proportional to 82,959.36, 114,489.36 and 47,149.44 is: 65,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.36 : 114,489.36 = 47,149.44 : x
  2. Step 2: Convert to fraction form
    82,959.36/114,489.36 = 47,149.44/x
  3. Step 3: Cross multiply
    82,959.36x = 114,489.36 × 47,149.44
  4. Step 4: Simplify right side
    82,959.36x = 5,398,109,209.96
  5. Step 5: Solve for x
    x = 5,398,109,209.96/82,959.36
  6. Step 6: Final answer
    x = 65,069.32

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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.