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Finding the Fourth Proportional to 65,673, 90,628.74 and 35,865

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Solution

The fourth proportional to 65,673, 90,628.74 and 35,865 is: 49,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,673 : 90,628.74 = 35,865 : x
  2. Step 2: Convert to fraction form
    65,673/90,628.74 = 35,865/x
  3. Step 3: Cross multiply
    65,673x = 90,628.74 × 35,865
  4. Step 4: Simplify right side
    65,673x = 3,250,399,760.10
  5. Step 5: Solve for x
    x = 3,250,399,760.10/65,673
  6. Step 6: Final answer
    x = 49,493.70

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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.