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Finding the Fourth Proportional to 109,126.89, 163,692.45 and 34,249.47

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Solution

The fourth proportional to 109,126.89, 163,692.45 and 34,249.47 is: 51,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,126.89 : 163,692.45 = 34,249.47 : x
  2. Step 2: Convert to fraction form
    109,126.89/163,692.45 = 34,249.47/x
  3. Step 3: Cross multiply
    109,126.89x = 163,692.45 × 34,249.47
  4. Step 4: Simplify right side
    109,126.89x = 5,606,379,655.50
  5. Step 5: Solve for x
    x = 5,606,379,655.50/109,126.89
  6. Step 6: Final answer
    x = 51,374.87

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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.