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Finding the Fourth Proportional to 33,811.16, 50,722.20 and 10,432.13

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Solution

The fourth proportional to 33,811.16, 50,722.20 and 10,432.13 is: 15,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.16 : 50,722.20 = 10,432.13 : x
  2. Step 2: Convert to fraction form
    33,811.16/50,722.20 = 10,432.13/x
  3. Step 3: Cross multiply
    33,811.16x = 50,722.20 × 10,432.13
  4. Step 4: Simplify right side
    33,811.16x = 529,140,330.68
  5. Step 5: Solve for x
    x = 529,140,330.68/33,811.16
  6. Step 6: Final answer
    x = 15,649.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.