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Finding the Fourth Proportional to 65,882.97, 90,917.86 and 35,667.51

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Solution

The fourth proportional to 65,882.97, 90,917.86 and 35,667.51 is: 49,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882.97 : 90,917.86 = 35,667.51 : x
  2. Step 2: Convert to fraction form
    65,882.97/90,917.86 = 35,667.51/x
  3. Step 3: Cross multiply
    65,882.97x = 90,917.86 × 35,667.51
  4. Step 4: Simplify right side
    65,882.97x = 3,242,813,908.02
  5. Step 5: Solve for x
    x = 3,242,813,908.02/65,882.97
  6. Step 6: Final answer
    x = 49,220.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.