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Finding the Fourth Proportional to 67,114.06, 100,671.10 and 27,670.15

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Solution

The fourth proportional to 67,114.06, 100,671.10 and 27,670.15 is: 41,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,114.06 : 100,671.10 = 27,670.15 : x
  2. Step 2: Convert to fraction form
    67,114.06/100,671.10 = 27,670.15/x
  3. Step 3: Cross multiply
    67,114.06x = 100,671.10 × 27,670.15
  4. Step 4: Simplify right side
    67,114.06x = 2,785,584,494.33
  5. Step 5: Solve for x
    x = 2,785,584,494.33/67,114.06
  6. Step 6: Final answer
    x = 41,505.23

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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.