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Finding the Fourth Proportional to 67,705.04, 101,580.60 and 34,850

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Solution

The fourth proportional to 67,705.04, 101,580.60 and 34,850 is: 52,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,705.04 : 101,580.60 = 34,850 : x
  2. Step 2: Convert to fraction form
    67,705.04/101,580.60 = 34,850/x
  3. Step 3: Cross multiply
    67,705.04x = 101,580.60 × 34,850
  4. Step 4: Simplify right side
    67,705.04x = 3,540,083,910
  5. Step 5: Solve for x
    x = 3,540,083,910/67,705.04
  6. Step 6: Final answer
    x = 52,286.86

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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.