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Finding the Fourth Proportional to 67,493.99, 101,164.17 and 29,997.74

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Solution

The fourth proportional to 67,493.99, 101,164.17 and 29,997.74 is: 44,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,493.99 : 101,164.17 = 29,997.74 : x
  2. Step 2: Convert to fraction form
    67,493.99/101,164.17 = 29,997.74/x
  3. Step 3: Cross multiply
    67,493.99x = 101,164.17 × 29,997.74
  4. Step 4: Simplify right side
    67,493.99x = 3,034,696,468.98
  5. Step 5: Solve for x
    x = 3,034,696,468.98/67,493.99
  6. Step 6: Final answer
    x = 44,962.47

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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.