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Finding the Fourth Proportional to 32,922.50, 49,388.85 and 10,730.70

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Solution

The fourth proportional to 32,922.50, 49,388.85 and 10,730.70 is: 16,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.50 : 49,388.85 = 10,730.70 : x
  2. Step 2: Convert to fraction form
    32,922.50/49,388.85 = 10,730.70/x
  3. Step 3: Cross multiply
    32,922.50x = 49,388.85 × 10,730.70
  4. Step 4: Simplify right side
    32,922.50x = 529,976,932.70
  5. Step 5: Solve for x
    x = 529,976,932.70/32,922.50
  6. Step 6: Final answer
    x = 16,097.71

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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.