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Finding the Fourth Proportional to 61,200.80, 91,801.20 and 54,519.20

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Solution

The fourth proportional to 61,200.80, 91,801.20 and 54,519.20 is: 81,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200.80 : 91,801.20 = 54,519.20 : x
  2. Step 2: Convert to fraction form
    61,200.80/91,801.20 = 54,519.20/x
  3. Step 3: Cross multiply
    61,200.80x = 91,801.20 × 54,519.20
  4. Step 4: Simplify right side
    61,200.80x = 5,004,927,983.04
  5. Step 5: Solve for x
    x = 5,004,927,983.04/61,200.80
  6. Step 6: Final answer
    x = 81,778.80

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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.