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Finding the Fourth Proportional to 65,684, 90,643.92 and 35,876

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Solution

The fourth proportional to 65,684, 90,643.92 and 35,876 is: 49,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684 : 90,643.92 = 35,876 : x
  2. Step 2: Convert to fraction form
    65,684/90,643.92 = 35,876/x
  3. Step 3: Cross multiply
    65,684x = 90,643.92 × 35,876
  4. Step 4: Simplify right side
    65,684x = 3,251,941,273.92
  5. Step 5: Solve for x
    x = 3,251,941,273.92/65,684
  6. Step 6: Final answer
    x = 49,508.88

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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.