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Finding the Fourth Proportional to 65,807, 90,815.82 and 35,999

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Solution

The fourth proportional to 65,807, 90,815.82 and 35,999 is: 49,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807 : 90,815.82 = 35,999 : x
  2. Step 2: Convert to fraction form
    65,807/90,815.82 = 35,999/x
  3. Step 3: Cross multiply
    65,807x = 90,815.82 × 35,999
  4. Step 4: Simplify right side
    65,807x = 3,269,278,704.18
  5. Step 5: Solve for x
    x = 3,269,278,704.18/65,807
  6. Step 6: Final answer
    x = 49,679.80

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