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Finding the Fourth Proportional to 33,613.19, 50,414.91 and 9,919.58

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Solution

The fourth proportional to 33,613.19, 50,414.91 and 9,919.58 is: 14,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,613.19 : 50,414.91 = 9,919.58 : x
  2. Step 2: Convert to fraction form
    33,613.19/50,414.91 = 9,919.58/x
  3. Step 3: Cross multiply
    33,613.19x = 50,414.91 × 9,919.58
  4. Step 4: Simplify right side
    33,613.19x = 500,094,809.38
  5. Step 5: Solve for x
    x = 500,094,809.38/33,613.19
  6. Step 6: Final answer
    x = 14,877.93

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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.