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Finding the Fourth Proportional to 65,894.96, 90,934.32 and 35,679.44

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Solution

The fourth proportional to 65,894.96, 90,934.32 and 35,679.44 is: 49,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.96 : 90,934.32 = 35,679.44 : x
  2. Step 2: Convert to fraction form
    65,894.96/90,934.32 = 35,679.44/x
  3. Step 3: Cross multiply
    65,894.96x = 90,934.32 × 35,679.44
  4. Step 4: Simplify right side
    65,894.96x = 3,244,485,614.38
  5. Step 5: Solve for x
    x = 3,244,485,614.38/65,894.96
  6. Step 6: Final answer
    x = 49,237.23

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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.