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Finding the Fourth Proportional to 109,860, 164,692.26 and 39,723.72

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Solution

The fourth proportional to 109,860, 164,692.26 and 39,723.72 is: 59,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860 : 164,692.26 = 39,723.72 : x
  2. Step 2: Convert to fraction form
    109,860/164,692.26 = 39,723.72/x
  3. Step 3: Cross multiply
    109,860x = 164,692.26 × 39,723.72
  4. Step 4: Simplify right side
    109,860x = 6,542,189,222.41
  5. Step 5: Solve for x
    x = 6,542,189,222.41/109,860
  6. Step 6: Final answer
    x = 59,550.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.