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Finding the Fourth Proportional to 100,082.94, 150,183.69 and 36,947.08

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Solution

The fourth proportional to 100,082.94, 150,183.69 and 36,947.08 is: 55,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.94 : 150,183.69 = 36,947.08 : x
  2. Step 2: Convert to fraction form
    100,082.94/150,183.69 = 36,947.08/x
  3. Step 3: Cross multiply
    100,082.94x = 150,183.69 × 36,947.08
  4. Step 4: Simplify right side
    100,082.94x = 5,548,848,809.13
  5. Step 5: Solve for x
    x = 5,548,848,809.13/100,082.94
  6. Step 6: Final answer
    x = 55,442.50

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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.