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Finding the Fourth Proportional to 73,309.80, 109,964.70 and 66,748.80

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Solution

The fourth proportional to 73,309.80, 109,964.70 and 66,748.80 is: 100,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,309.80 : 109,964.70 = 66,748.80 : x
  2. Step 2: Convert to fraction form
    73,309.80/109,964.70 = 66,748.80/x
  3. Step 3: Cross multiply
    73,309.80x = 109,964.70 × 66,748.80
  4. Step 4: Simplify right side
    73,309.80x = 7,340,011,767.36
  5. Step 5: Solve for x
    x = 7,340,011,767.36/73,309.80
  6. Step 6: Final answer
    x = 100,123.20

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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.