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Finding the Fourth Proportional to 51,808.80, 77,713.20 and 33,991.20

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Solution

The fourth proportional to 51,808.80, 77,713.20 and 33,991.20 is: 50,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.80 : 77,713.20 = 33,991.20 : x
  2. Step 2: Convert to fraction form
    51,808.80/77,713.20 = 33,991.20/x
  3. Step 3: Cross multiply
    51,808.80x = 77,713.20 × 33,991.20
  4. Step 4: Simplify right side
    51,808.80x = 2,641,564,923.84
  5. Step 5: Solve for x
    x = 2,641,564,923.84/51,808.80
  6. Step 6: Final answer
    x = 50,986.80

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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.