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Finding the Fourth Proportional to 73,271.20, 109,906.80 and 57,524.80

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Solution

The fourth proportional to 73,271.20, 109,906.80 and 57,524.80 is: 86,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,271.20 : 109,906.80 = 57,524.80 : x
  2. Step 2: Convert to fraction form
    73,271.20/109,906.80 = 57,524.80/x
  3. Step 3: Cross multiply
    73,271.20x = 109,906.80 × 57,524.80
  4. Step 4: Simplify right side
    73,271.20x = 6,322,366,688.64
  5. Step 5: Solve for x
    x = 6,322,366,688.64/73,271.20
  6. Step 6: Final answer
    x = 86,287.20

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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.