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Finding the Fourth Proportional to 67,519.88, 101,293.32 and 20,771

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Solution

The fourth proportional to 67,519.88, 101,293.32 and 20,771 is: 31,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,519.88 : 101,293.32 = 20,771 : x
  2. Step 2: Convert to fraction form
    67,519.88/101,293.32 = 20,771/x
  3. Step 3: Cross multiply
    67,519.88x = 101,293.32 × 20,771
  4. Step 4: Simplify right side
    67,519.88x = 2,103,963,549.72
  5. Step 5: Solve for x
    x = 2,103,963,549.72/67,519.88
  6. Step 6: Final answer
    x = 31,160.65

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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.