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Finding the Fourth Proportional to 82,141.64, 113,353.86 and 46,331

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Solution

The fourth proportional to 82,141.64, 113,353.86 and 46,331 is: 63,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.64 : 113,353.86 = 46,331 : x
  2. Step 2: Convert to fraction form
    82,141.64/113,353.86 = 46,331/x
  3. Step 3: Cross multiply
    82,141.64x = 113,353.86 × 46,331
  4. Step 4: Simplify right side
    82,141.64x = 5,251,797,687.66
  5. Step 5: Solve for x
    x = 5,251,797,687.66/82,141.64
  6. Step 6: Final answer
    x = 63,935.88

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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.