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Finding the Fourth Proportional to 32,891.11, 49,333.58 and 9,200.77

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Solution

The fourth proportional to 32,891.11, 49,333.58 and 9,200.77 is: 13,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.11 : 49,333.58 = 9,200.77 : x
  2. Step 2: Convert to fraction form
    32,891.11/49,333.58 = 9,200.77/x
  3. Step 3: Cross multiply
    32,891.11x = 49,333.58 × 9,200.77
  4. Step 4: Simplify right side
    32,891.11x = 453,906,922.86
  5. Step 5: Solve for x
    x = 453,906,922.86/32,891.11
  6. Step 6: Final answer
    x = 13,800.29

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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.