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Finding the Fourth Proportional to 82,327.27, 113,618.31 and 46,524.72

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Solution

The fourth proportional to 82,327.27, 113,618.31 and 46,524.72 is: 64,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,327.27 : 113,618.31 = 46,524.72 : x
  2. Step 2: Convert to fraction form
    82,327.27/113,618.31 = 46,524.72/x
  3. Step 3: Cross multiply
    82,327.27x = 113,618.31 × 46,524.72
  4. Step 4: Simplify right side
    82,327.27x = 5,286,060,059.62
  5. Step 5: Solve for x
    x = 5,286,060,059.62/82,327.27
  6. Step 6: Final answer
    x = 64,207.89

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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.