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Finding the Fourth Proportional to 32,837.49, 49,329.14 and 20,366.73

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Solution

The fourth proportional to 32,837.49, 49,329.14 and 20,366.73 is: 30,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837.49 : 49,329.14 = 20,366.73 : x
  2. Step 2: Convert to fraction form
    32,837.49/49,329.14 = 20,366.73/x
  3. Step 3: Cross multiply
    32,837.49x = 49,329.14 × 20,366.73
  4. Step 4: Simplify right side
    32,837.49x = 1,004,673,173.68
  5. Step 5: Solve for x
    x = 1,004,673,173.68/32,837.49
  6. Step 6: Final answer
    x = 30,595.31

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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.