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Finding the Fourth Proportional to 32,083.14, 48,121.56 and 9,890.52

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Solution

The fourth proportional to 32,083.14, 48,121.56 and 9,890.52 is: 14,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.14 : 48,121.56 = 9,890.52 : x
  2. Step 2: Convert to fraction form
    32,083.14/48,121.56 = 9,890.52/x
  3. Step 3: Cross multiply
    32,083.14x = 48,121.56 × 9,890.52
  4. Step 4: Simplify right side
    32,083.14x = 475,947,251.61
  5. Step 5: Solve for x
    x = 475,947,251.61/32,083.14
  6. Step 6: Final answer
    x = 14,834.81

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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.