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Finding the Fourth Proportional to 100,069.86, 150,091.82 and 37,732.26

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Solution

The fourth proportional to 100,069.86, 150,091.82 and 37,732.26 is: 56,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,069.86 : 150,091.82 = 37,732.26 : x
  2. Step 2: Convert to fraction form
    100,069.86/150,091.82 = 37,732.26/x
  3. Step 3: Cross multiply
    100,069.86x = 150,091.82 × 37,732.26
  4. Step 4: Simplify right side
    100,069.86x = 5,663,303,576.11
  5. Step 5: Solve for x
    x = 5,663,303,576.11/100,069.86
  6. Step 6: Final answer
    x = 56,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.