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Finding the Fourth Proportional to 39,806.40, 59,713.20 and 20,072.40

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Solution

The fourth proportional to 39,806.40, 59,713.20 and 20,072.40 is: 30,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806.40 : 59,713.20 = 20,072.40 : x
  2. Step 2: Convert to fraction form
    39,806.40/59,713.20 = 20,072.40/x
  3. Step 3: Cross multiply
    39,806.40x = 59,713.20 × 20,072.40
  4. Step 4: Simplify right side
    39,806.40x = 1,198,587,235.68
  5. Step 5: Solve for x
    x = 1,198,587,235.68/39,806.40
  6. Step 6: Final answer
    x = 30,110.42

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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.