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Finding the Fourth Proportional to 32,086.56, 48,112.22 and 9,893.78

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Solution

The fourth proportional to 32,086.56, 48,112.22 and 9,893.78 is: 14,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.56 : 48,112.22 = 9,893.78 : x
  2. Step 2: Convert to fraction form
    32,086.56/48,112.22 = 9,893.78/x
  3. Step 3: Cross multiply
    32,086.56x = 48,112.22 × 9,893.78
  4. Step 4: Simplify right side
    32,086.56x = 476,011,504.16
  5. Step 5: Solve for x
    x = 476,011,504.16/32,086.56
  6. Step 6: Final answer
    x = 14,835.23

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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.