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Finding the Fourth Proportional to 68,692.86, 103,009.32 and 24,304.86

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Solution

The fourth proportional to 68,692.86, 103,009.32 and 24,304.86 is: 36,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692.86 : 103,009.32 = 24,304.86 : x
  2. Step 2: Convert to fraction form
    68,692.86/103,009.32 = 24,304.86/x
  3. Step 3: Cross multiply
    68,692.86x = 103,009.32 × 24,304.86
  4. Step 4: Simplify right side
    68,692.86x = 2,503,627,101.30
  5. Step 5: Solve for x
    x = 2,503,627,101.30/68,692.86
  6. Step 6: Final answer
    x = 36,446.69

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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.