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Finding the Fourth Proportional to 73,051.80, 109,692.90 and 41,947.80

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Solution

The fourth proportional to 73,051.80, 109,692.90 and 41,947.80 is: 62,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,051.80 : 109,692.90 = 41,947.80 : x
  2. Step 2: Convert to fraction form
    73,051.80/109,692.90 = 41,947.80/x
  3. Step 3: Cross multiply
    73,051.80x = 109,692.90 × 41,947.80
  4. Step 4: Simplify right side
    73,051.80x = 4,601,375,830.62
  5. Step 5: Solve for x
    x = 4,601,375,830.62/73,051.80
  6. Step 6: Final answer
    x = 62,987.85

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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.