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Finding the Fourth Proportional to 71,744.56, 107,616.84 and 32,294.32

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Solution

The fourth proportional to 71,744.56, 107,616.84 and 32,294.32 is: 48,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,744.56 : 107,616.84 = 32,294.32 : x
  2. Step 2: Convert to fraction form
    71,744.56/107,616.84 = 32,294.32/x
  3. Step 3: Cross multiply
    71,744.56x = 107,616.84 × 32,294.32
  4. Step 4: Simplify right side
    71,744.56x = 3,475,412,668.35
  5. Step 5: Solve for x
    x = 3,475,412,668.35/71,744.56
  6. Step 6: Final answer
    x = 48,441.48

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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.