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Finding the Fourth Proportional to 65,690.25, 90,652.91 and 35,882.25

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Solution

The fourth proportional to 65,690.25, 90,652.91 and 35,882.25 is: 49,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690.25 : 90,652.91 = 35,882.25 : x
  2. Step 2: Convert to fraction form
    65,690.25/90,652.91 = 35,882.25/x
  3. Step 3: Cross multiply
    65,690.25x = 90,652.91 × 35,882.25
  4. Step 4: Simplify right side
    65,690.25x = 3,252,830,379.85
  5. Step 5: Solve for x
    x = 3,252,830,379.85/65,690.25
  6. Step 6: Final answer
    x = 49,517.70

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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.