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Finding the Fourth Proportional to 49,156.46, 73,692.93 and 22,876.46

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Solution

The fourth proportional to 49,156.46, 73,692.93 and 22,876.46 is: 34,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156.46 : 73,692.93 = 22,876.46 : x
  2. Step 2: Convert to fraction form
    49,156.46/73,692.93 = 22,876.46/x
  3. Step 3: Cross multiply
    49,156.46x = 73,692.93 × 22,876.46
  4. Step 4: Simplify right side
    49,156.46x = 1,685,833,365.43
  5. Step 5: Solve for x
    x = 1,685,833,365.43/49,156.46
  6. Step 6: Final answer
    x = 34,295.26

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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.