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Finding the Fourth Proportional to 108,012.29, 161,919.81 and 37,853.33

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Solution

The fourth proportional to 108,012.29, 161,919.81 and 37,853.33 is: 56,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,012.29 : 161,919.81 = 37,853.33 : x
  2. Step 2: Convert to fraction form
    108,012.29/161,919.81 = 37,853.33/x
  3. Step 3: Cross multiply
    108,012.29x = 161,919.81 × 37,853.33
  4. Step 4: Simplify right side
    108,012.29x = 6,129,203,191.87
  5. Step 5: Solve for x
    x = 6,129,203,191.87/108,012.29
  6. Step 6: Final answer
    x = 56,745.43

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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.