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Finding the Fourth Proportional to 59,652.96, 82,321.11 and 32,795.25

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Solution

The fourth proportional to 59,652.96, 82,321.11 and 32,795.25 is: 45,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,652.96 : 82,321.11 = 32,795.25 : x
  2. Step 2: Convert to fraction form
    59,652.96/82,321.11 = 32,795.25/x
  3. Step 3: Cross multiply
    59,652.96x = 82,321.11 × 32,795.25
  4. Step 4: Simplify right side
    59,652.96x = 2,699,741,382.73
  5. Step 5: Solve for x
    x = 2,699,741,382.73/59,652.96
  6. Step 6: Final answer
    x = 45,257.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.