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Finding the Fourth Proportional to 32,099.54, 48,131.82 and 9,908.78

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Solution

The fourth proportional to 32,099.54, 48,131.82 and 9,908.78 is: 14,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.54 : 48,131.82 = 9,908.78 : x
  2. Step 2: Convert to fraction form
    32,099.54/48,131.82 = 9,908.78/x
  3. Step 3: Cross multiply
    32,099.54x = 48,131.82 × 9,908.78
  4. Step 4: Simplify right side
    32,099.54x = 476,927,374.72
  5. Step 5: Solve for x
    x = 476,927,374.72/32,099.54
  6. Step 6: Final answer
    x = 14,857.77

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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.