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Finding the Fourth Proportional to 32,078.89, 48,107.37 and 16,277.83

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Solution

The fourth proportional to 32,078.89, 48,107.37 and 16,277.83 is: 24,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.89 : 48,107.37 = 16,277.83 : x
  2. Step 2: Convert to fraction form
    32,078.89/48,107.37 = 16,277.83/x
  3. Step 3: Cross multiply
    32,078.89x = 48,107.37 × 16,277.83
  4. Step 4: Simplify right side
    32,078.89x = 783,083,350.07
  5. Step 5: Solve for x
    x = 783,083,350.07/32,078.89
  6. Step 6: Final answer
    x = 24,411.18

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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.