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Finding the Fourth Proportional to 32,101.56, 48,134.70 and 9,908.82

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Solution

The fourth proportional to 32,101.56, 48,134.70 and 9,908.82 is: 14,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.56 : 48,134.70 = 9,908.82 : x
  2. Step 2: Convert to fraction form
    32,101.56/48,134.70 = 9,908.82/x
  3. Step 3: Cross multiply
    32,101.56x = 48,134.70 × 9,908.82
  4. Step 4: Simplify right side
    32,101.56x = 476,958,078.05
  5. Step 5: Solve for x
    x = 476,958,078.05/32,101.56
  6. Step 6: Final answer
    x = 14,857.79

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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.