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Finding the Fourth Proportional to 65,882.87, 90,917.26 and 35,667.95

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Solution

The fourth proportional to 65,882.87, 90,917.26 and 35,667.95 is: 49,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882.87 : 90,917.26 = 35,667.95 : x
  2. Step 2: Convert to fraction form
    65,882.87/90,917.26 = 35,667.95/x
  3. Step 3: Cross multiply
    65,882.87x = 90,917.26 × 35,667.95
  4. Step 4: Simplify right side
    65,882.87x = 3,242,831,840.38
  5. Step 5: Solve for x
    x = 3,242,831,840.38/65,882.87
  6. Step 6: Final answer
    x = 49,221.17

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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.