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Finding the Fourth Proportional to 100,407.94, 150,516.19 and 33,813.80

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Solution

The fourth proportional to 100,407.94, 150,516.19 and 33,813.80 is: 50,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.94 : 150,516.19 = 33,813.80 : x
  2. Step 2: Convert to fraction form
    100,407.94/150,516.19 = 33,813.80/x
  3. Step 3: Cross multiply
    100,407.94x = 150,516.19 × 33,813.80
  4. Step 4: Simplify right side
    100,407.94x = 5,089,524,345.42
  5. Step 5: Solve for x
    x = 5,089,524,345.42/100,407.94
  6. Step 6: Final answer
    x = 50,688.46

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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.