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Finding the Fourth Proportional to 71,772.80, 107,662.40 and 27,420.80

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Solution

The fourth proportional to 71,772.80, 107,662.40 and 27,420.80 is: 41,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.80 : 107,662.40 = 27,420.80 : x
  2. Step 2: Convert to fraction form
    71,772.80/107,662.40 = 27,420.80/x
  3. Step 3: Cross multiply
    71,772.80x = 107,662.40 × 27,420.80
  4. Step 4: Simplify right side
    71,772.80x = 2,952,189,137.92
  5. Step 5: Solve for x
    x = 2,952,189,137.92/71,772.80
  6. Step 6: Final answer
    x = 41,132.42

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1.5x scale

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.