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Finding the Fourth Proportional to 67,431.84, 101,209.90 and 34,175.50

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Solution

The fourth proportional to 67,431.84, 101,209.90 and 34,175.50 is: 51,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,431.84 : 101,209.90 = 34,175.50 : x
  2. Step 2: Convert to fraction form
    67,431.84/101,209.90 = 34,175.50/x
  3. Step 3: Cross multiply
    67,431.84x = 101,209.90 × 34,175.50
  4. Step 4: Simplify right side
    67,431.84x = 3,458,898,937.45
  5. Step 5: Solve for x
    x = 3,458,898,937.45/67,431.84
  6. Step 6: Final answer
    x = 51,294.74

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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.