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Finding the Fourth Proportional to 67,015.35, 100,484.69 and 27,540

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Solution

The fourth proportional to 67,015.35, 100,484.69 and 27,540 is: 41,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,015.35 : 100,484.69 = 27,540 : x
  2. Step 2: Convert to fraction form
    67,015.35/100,484.69 = 27,540/x
  3. Step 3: Cross multiply
    67,015.35x = 100,484.69 × 27,540
  4. Step 4: Simplify right side
    67,015.35x = 2,767,348,224.90
  5. Step 5: Solve for x
    x = 2,767,348,224.90/67,015.35
  6. Step 6: Final answer
    x = 41,294.24

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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.