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Finding the Fourth Proportional to 107,601, 161,427.42 and 33,729

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Solution

The fourth proportional to 107,601, 161,427.42 and 33,729 is: 50,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,601 : 161,427.42 = 33,729 : x
  2. Step 2: Convert to fraction form
    107,601/161,427.42 = 33,729/x
  3. Step 3: Cross multiply
    107,601x = 161,427.42 × 33,729
  4. Step 4: Simplify right side
    107,601x = 5,444,785,449.18
  5. Step 5: Solve for x
    x = 5,444,785,449.18/107,601
  6. Step 6: Final answer
    x = 50,601.62

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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.