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Finding the Fourth Proportional to 29,797.12, 44,692.44 and 9,022.24

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Solution

The fourth proportional to 29,797.12, 44,692.44 and 9,022.24 is: 13,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.12 : 44,692.44 = 9,022.24 : x
  2. Step 2: Convert to fraction form
    29,797.12/44,692.44 = 9,022.24/x
  3. Step 3: Cross multiply
    29,797.12x = 44,692.44 × 9,022.24
  4. Step 4: Simplify right side
    29,797.12x = 403,225,919.87
  5. Step 5: Solve for x
    x = 403,225,919.87/29,797.12
  6. Step 6: Final answer
    x = 13,532.38

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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.