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Finding the Fourth Proportional to 107,404.92, 161,109 and 37,286.46

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Solution

The fourth proportional to 107,404.92, 161,109 and 37,286.46 is: 55,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,404.92 : 161,109 = 37,286.46 : x
  2. Step 2: Convert to fraction form
    107,404.92/161,109 = 37,286.46/x
  3. Step 3: Cross multiply
    107,404.92x = 161,109 × 37,286.46
  4. Step 4: Simplify right side
    107,404.92x = 6,007,184,284.14
  5. Step 5: Solve for x
    x = 6,007,184,284.14/107,404.92
  6. Step 6: Final answer
    x = 55,930.25

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1.5x scale

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.