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Finding the Fourth Proportional to 32,601.16, 48,908.31 and 11,546.92

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Solution

The fourth proportional to 32,601.16, 48,908.31 and 11,546.92 is: 17,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.16 : 48,908.31 = 11,546.92 : x
  2. Step 2: Convert to fraction form
    32,601.16/48,908.31 = 11,546.92/x
  3. Step 3: Cross multiply
    32,601.16x = 48,908.31 × 11,546.92
  4. Step 4: Simplify right side
    32,601.16x = 564,740,342.91
  5. Step 5: Solve for x
    x = 564,740,342.91/32,601.16
  6. Step 6: Final answer
    x = 17,322.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.