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Finding the Fourth Proportional to 29,523.82, 44,276.10 and 9,797.08

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Solution

The fourth proportional to 29,523.82, 44,276.10 and 9,797.08 is: 14,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523.82 : 44,276.10 = 9,797.08 : x
  2. Step 2: Convert to fraction form
    29,523.82/44,276.10 = 9,797.08/x
  3. Step 3: Cross multiply
    29,523.82x = 44,276.10 × 9,797.08
  4. Step 4: Simplify right side
    29,523.82x = 433,776,493.79
  5. Step 5: Solve for x
    x = 433,776,493.79/29,523.82
  6. Step 6: Final answer
    x = 14,692.42

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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.