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Finding the Fourth Proportional to 65,652, 90,600 and 35,844

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Solution

The fourth proportional to 65,652, 90,600 and 35,844 is: 49,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652 : 90,600 = 35,844 : x
  2. Step 2: Convert to fraction form
    65,652/90,600 = 35,844/x
  3. Step 3: Cross multiply
    65,652x = 90,600 × 35,844
  4. Step 4: Simplify right side
    65,652x = 3,247,466,400
  5. Step 5: Solve for x
    x = 3,247,466,400/65,652
  6. Step 6: Final answer
    x = 49,464.85

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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.