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Finding the Fourth Proportional to 33,007.11, 49,438.95 and 20,318.19

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Solution

The fourth proportional to 33,007.11, 49,438.95 and 20,318.19 is: 30,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.11 : 49,438.95 = 20,318.19 : x
  2. Step 2: Convert to fraction form
    33,007.11/49,438.95 = 20,318.19/x
  3. Step 3: Cross multiply
    33,007.11x = 49,438.95 × 20,318.19
  4. Step 4: Simplify right side
    33,007.11x = 1,004,509,979.50
  5. Step 5: Solve for x
    x = 1,004,509,979.50/33,007.11
  6. Step 6: Final answer
    x = 30,433.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.