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Finding the Fourth Proportional to 32,920.49, 49,371.87 and 9,226.64

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Solution

The fourth proportional to 32,920.49, 49,371.87 and 9,226.64 is: 13,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.49 : 49,371.87 = 9,226.64 : x
  2. Step 2: Convert to fraction form
    32,920.49/49,371.87 = 9,226.64/x
  3. Step 3: Cross multiply
    32,920.49x = 49,371.87 × 9,226.64
  4. Step 4: Simplify right side
    32,920.49x = 455,536,470.62
  5. Step 5: Solve for x
    x = 455,536,470.62/32,920.49
  6. Step 6: Final answer
    x = 13,837.48

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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.