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Finding the Fourth Proportional to 67,742.46, 101,649.87 and 50,987.30

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Solution

The fourth proportional to 67,742.46, 101,649.87 and 50,987.30 is: 76,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742.46 : 101,649.87 = 50,987.30 : x
  2. Step 2: Convert to fraction form
    67,742.46/101,649.87 = 50,987.30/x
  3. Step 3: Cross multiply
    67,742.46x = 101,649.87 × 50,987.30
  4. Step 4: Simplify right side
    67,742.46x = 5,182,851,908.40
  5. Step 5: Solve for x
    x = 5,182,851,908.40/67,742.46
  6. Step 6: Final answer
    x = 76,508.17

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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.