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Finding the Fourth Proportional to 64,965.75, 89,652.78 and 35,157.75

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Solution

The fourth proportional to 64,965.75, 89,652.78 and 35,157.75 is: 48,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965.75 : 89,652.78 = 35,157.75 : x
  2. Step 2: Convert to fraction form
    64,965.75/89,652.78 = 35,157.75/x
  3. Step 3: Cross multiply
    64,965.75x = 89,652.78 × 35,157.75
  4. Step 4: Simplify right side
    64,965.75x = 3,151,990,026.05
  5. Step 5: Solve for x
    x = 3,151,990,026.05/64,965.75
  6. Step 6: Final answer
    x = 48,517.72

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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.