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Finding the Fourth Proportional to 32,083.56, 48,107.72 and 9,890.78

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Solution

The fourth proportional to 32,083.56, 48,107.72 and 9,890.78 is: 14,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.56 : 48,107.72 = 9,890.78 : x
  2. Step 2: Convert to fraction form
    32,083.56/48,107.72 = 9,890.78/x
  3. Step 3: Cross multiply
    32,083.56x = 48,107.72 × 9,890.78
  4. Step 4: Simplify right side
    32,083.56x = 475,822,659.01
  5. Step 5: Solve for x
    x = 475,822,659.01/32,083.56
  6. Step 6: Final answer
    x = 14,830.73

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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.