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Finding the Fourth Proportional to 33,086.32, 49,632 and 12,310

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Solution

The fourth proportional to 33,086.32, 49,632 and 12,310 is: 18,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.32 : 49,632 = 12,310 : x
  2. Step 2: Convert to fraction form
    33,086.32/49,632 = 12,310/x
  3. Step 3: Cross multiply
    33,086.32x = 49,632 × 12,310
  4. Step 4: Simplify right side
    33,086.32x = 610,969,920
  5. Step 5: Solve for x
    x = 610,969,920/33,086.32
  6. Step 6: Final answer
    x = 18,465.94

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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.