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Finding the Fourth Proportional to 67,064.64, 100,611.84 and 25,512

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Solution

The fourth proportional to 67,064.64, 100,611.84 and 25,512 is: 38,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064.64 : 100,611.84 = 25,512 : x
  2. Step 2: Convert to fraction form
    67,064.64/100,611.84 = 25,512/x
  3. Step 3: Cross multiply
    67,064.64x = 100,611.84 × 25,512
  4. Step 4: Simplify right side
    67,064.64x = 2,566,809,262.08
  5. Step 5: Solve for x
    x = 2,566,809,262.08/67,064.64
  6. Step 6: Final answer
    x = 38,273.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.