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Finding the Fourth Proportional to 100,538.34, 150,807.78 and 33,960.66

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Solution

The fourth proportional to 100,538.34, 150,807.78 and 33,960.66 is: 50,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538.34 : 150,807.78 = 33,960.66 : x
  2. Step 2: Convert to fraction form
    100,538.34/150,807.78 = 33,960.66/x
  3. Step 3: Cross multiply
    100,538.34x = 150,807.78 × 33,960.66
  4. Step 4: Simplify right side
    100,538.34x = 5,121,531,741.93
  5. Step 5: Solve for x
    x = 5,121,531,741.93/100,538.34
  6. Step 6: Final answer
    x = 50,941.08

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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.