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Finding the Fourth Proportional to 77,692.98, 107,200.26 and 45,421.38

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Solution

The fourth proportional to 77,692.98, 107,200.26 and 45,421.38 is: 62,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.98 : 107,200.26 = 45,421.38 : x
  2. Step 2: Convert to fraction form
    77,692.98/107,200.26 = 45,421.38/x
  3. Step 3: Cross multiply
    77,692.98x = 107,200.26 × 45,421.38
  4. Step 4: Simplify right side
    77,692.98x = 4,869,183,745.56
  5. Step 5: Solve for x
    x = 4,869,183,745.56/77,692.98
  6. Step 6: Final answer
    x = 62,672.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.