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Finding the Fourth Proportional to 32,351.76, 48,524.42 and 10,164.54

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Solution

The fourth proportional to 32,351.76, 48,524.42 and 10,164.54 is: 15,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.76 : 48,524.42 = 10,164.54 : x
  2. Step 2: Convert to fraction form
    32,351.76/48,524.42 = 10,164.54/x
  3. Step 3: Cross multiply
    32,351.76x = 48,524.42 × 10,164.54
  4. Step 4: Simplify right side
    32,351.76x = 493,228,408.07
  5. Step 5: Solve for x
    x = 493,228,408.07/32,351.76
  6. Step 6: Final answer
    x = 15,245.80

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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.