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Finding the Fourth Proportional to 82,896.96, 114,394.23 and 47,086.86

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Solution

The fourth proportional to 82,896.96, 114,394.23 and 47,086.86 is: 64,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.96 : 114,394.23 = 47,086.86 : x
  2. Step 2: Convert to fraction form
    82,896.96/114,394.23 = 47,086.86/x
  3. Step 3: Cross multiply
    82,896.96x = 114,394.23 × 47,086.86
  4. Step 4: Simplify right side
    82,896.96x = 5,386,465,092.82
  5. Step 5: Solve for x
    x = 5,386,465,092.82/82,896.96
  6. Step 6: Final answer
    x = 64,977.84

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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.