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Finding the Fourth Proportional to 100,365.89, 150,543.95 and 33,808.64

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Solution

The fourth proportional to 100,365.89, 150,543.95 and 33,808.64 is: 50,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.89 : 150,543.95 = 33,808.64 : x
  2. Step 2: Convert to fraction form
    100,365.89/150,543.95 = 33,808.64/x
  3. Step 3: Cross multiply
    100,365.89x = 150,543.95 × 33,808.64
  4. Step 4: Simplify right side
    100,365.89x = 5,089,685,287.97
  5. Step 5: Solve for x
    x = 5,089,685,287.97/100,365.89
  6. Step 6: Final answer
    x = 50,711.31

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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.