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Finding the Fourth Proportional to 67,822.75, 101,630.84 and 34,492.87

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Solution

The fourth proportional to 67,822.75, 101,630.84 and 34,492.87 is: 51,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822.75 : 101,630.84 = 34,492.87 : x
  2. Step 2: Convert to fraction form
    67,822.75/101,630.84 = 34,492.87/x
  3. Step 3: Cross multiply
    67,822.75x = 101,630.84 × 34,492.87
  4. Step 4: Simplify right side
    67,822.75x = 3,505,538,843.96
  5. Step 5: Solve for x
    x = 3,505,538,843.96/67,822.75
  6. Step 6: Final answer
    x = 51,686.77

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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.