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Finding the Fourth Proportional to 82,896.21, 114,393.20 and 47,086.11

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Solution

The fourth proportional to 82,896.21, 114,393.20 and 47,086.11 is: 64,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.21 : 114,393.20 = 47,086.11 : x
  2. Step 2: Convert to fraction form
    82,896.21/114,393.20 = 47,086.11/x
  3. Step 3: Cross multiply
    82,896.21x = 114,393.20 × 47,086.11
  4. Step 4: Simplify right side
    82,896.21x = 5,386,330,563.02
  5. Step 5: Solve for x
    x = 5,386,330,563.02/82,896.21
  6. Step 6: Final answer
    x = 64,976.80

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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.