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Finding the Fourth Proportional to 73,194.20, 109,797.80 and 30,490.20

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Solution

The fourth proportional to 73,194.20, 109,797.80 and 30,490.20 is: 45,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,194.20 : 109,797.80 = 30,490.20 : x
  2. Step 2: Convert to fraction form
    73,194.20/109,797.80 = 30,490.20/x
  3. Step 3: Cross multiply
    73,194.20x = 109,797.80 × 30,490.20
  4. Step 4: Simplify right side
    73,194.20x = 3,347,756,881.56
  5. Step 5: Solve for x
    x = 3,347,756,881.56/73,194.20
  6. Step 6: Final answer
    x = 45,738.01

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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.