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Finding the Fourth Proportional to 67,817.57, 101,728.65 and 27,290.57

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Solution

The fourth proportional to 67,817.57, 101,728.65 and 27,290.57 is: 40,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.57 : 101,728.65 = 27,290.57 : x
  2. Step 2: Convert to fraction form
    67,817.57/101,728.65 = 27,290.57/x
  3. Step 3: Cross multiply
    67,817.57x = 101,728.65 × 27,290.57
  4. Step 4: Simplify right side
    67,817.57x = 2,776,232,335.19
  5. Step 5: Solve for x
    x = 2,776,232,335.19/67,817.57
  6. Step 6: Final answer
    x = 40,936.77

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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.