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Finding the Fourth Proportional to 97,033.20, 133,900.20 and 54,589.20

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Solution

The fourth proportional to 97,033.20, 133,900.20 and 54,589.20 is: 75,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033.20 : 133,900.20 = 54,589.20 : x
  2. Step 2: Convert to fraction form
    97,033.20/133,900.20 = 54,589.20/x
  3. Step 3: Cross multiply
    97,033.20x = 133,900.20 × 54,589.20
  4. Step 4: Simplify right side
    97,033.20x = 7,309,504,797.84
  5. Step 5: Solve for x
    x = 7,309,504,797.84/97,033.20
  6. Step 6: Final answer
    x = 75,329.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.