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Finding the Fourth Proportional to 33,516.96, 50,284.80 and 10,143.60

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Solution

The fourth proportional to 33,516.96, 50,284.80 and 10,143.60 is: 15,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,516.96 : 50,284.80 = 10,143.60 : x
  2. Step 2: Convert to fraction form
    33,516.96/50,284.80 = 10,143.60/x
  3. Step 3: Cross multiply
    33,516.96x = 50,284.80 × 10,143.60
  4. Step 4: Simplify right side
    33,516.96x = 510,068,897.28
  5. Step 5: Solve for x
    x = 510,068,897.28/33,516.96
  6. Step 6: Final answer
    x = 15,218.23

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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.