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Finding the Fourth Proportional to 33,214.68, 49,831.80 and 9,841.74

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Solution

The fourth proportional to 33,214.68, 49,831.80 and 9,841.74 is: 14,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.68 : 49,831.80 = 9,841.74 : x
  2. Step 2: Convert to fraction form
    33,214.68/49,831.80 = 9,841.74/x
  3. Step 3: Cross multiply
    33,214.68x = 49,831.80 × 9,841.74
  4. Step 4: Simplify right side
    33,214.68x = 490,431,619.33
  5. Step 5: Solve for x
    x = 490,431,619.33/33,214.68
  6. Step 6: Final answer
    x = 14,765.51

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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.