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Finding the Fourth Proportional to 65,686, 90,647.04 and 35,878

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Solution

The fourth proportional to 65,686, 90,647.04 and 35,878 is: 49,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686 : 90,647.04 = 35,878 : x
  2. Step 2: Convert to fraction form
    65,686/90,647.04 = 35,878/x
  3. Step 3: Cross multiply
    65,686x = 90,647.04 × 35,878
  4. Step 4: Simplify right side
    65,686x = 3,252,234,501.12
  5. Step 5: Solve for x
    x = 3,252,234,501.12/65,686
  6. Step 6: Final answer
    x = 49,511.84

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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.