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Finding the Fourth Proportional to 32,059.38, 48,093.63 and 9,874.56

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Solution

The fourth proportional to 32,059.38, 48,093.63 and 9,874.56 is: 14,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.38 : 48,093.63 = 9,874.56 : x
  2. Step 2: Convert to fraction form
    32,059.38/48,093.63 = 9,874.56/x
  3. Step 3: Cross multiply
    32,059.38x = 48,093.63 × 9,874.56
  4. Step 4: Simplify right side
    32,059.38x = 474,903,435.05
  5. Step 5: Solve for x
    x = 474,903,435.05/32,059.38
  6. Step 6: Final answer
    x = 14,813.24

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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.