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Finding the Fourth Proportional to 39,563.20, 59,344.80 and 33,419.20

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Solution

The fourth proportional to 39,563.20, 59,344.80 and 33,419.20 is: 50,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,563.20 : 59,344.80 = 33,419.20 : x
  2. Step 2: Convert to fraction form
    39,563.20/59,344.80 = 33,419.20/x
  3. Step 3: Cross multiply
    39,563.20x = 59,344.80 × 33,419.20
  4. Step 4: Simplify right side
    39,563.20x = 1,983,255,740.16
  5. Step 5: Solve for x
    x = 1,983,255,740.16/39,563.20
  6. Step 6: Final answer
    x = 50,128.80

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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.