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Finding the Fourth Proportional to 107,963.16, 161,944.72 and 33,083.01

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Solution

The fourth proportional to 107,963.16, 161,944.72 and 33,083.01 is: 49,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,963.16 : 161,944.72 = 33,083.01 : x
  2. Step 2: Convert to fraction form
    107,963.16/161,944.72 = 33,083.01/x
  3. Step 3: Cross multiply
    107,963.16x = 161,944.72 × 33,083.01
  4. Step 4: Simplify right side
    107,963.16x = 5,357,618,791.21
  5. Step 5: Solve for x
    x = 5,357,618,791.21/107,963.16
  6. Step 6: Final answer
    x = 49,624.51

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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.