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Finding the Fourth Proportional to 32,081.64, 48,116.31 and 9,891.66

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Solution

The fourth proportional to 32,081.64, 48,116.31 and 9,891.66 is: 14,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.64 : 48,116.31 = 9,891.66 : x
  2. Step 2: Convert to fraction form
    32,081.64/48,116.31 = 9,891.66/x
  3. Step 3: Cross multiply
    32,081.64x = 48,116.31 × 9,891.66
  4. Step 4: Simplify right side
    32,081.64x = 475,950,178.97
  5. Step 5: Solve for x
    x = 475,950,178.97/32,081.64
  6. Step 6: Final answer
    x = 14,835.59

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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.