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Finding the Fourth Proportional to 32,716, 49,074.48 and 8,092

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Solution

The fourth proportional to 32,716, 49,074.48 and 8,092 is: 12,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716 : 49,074.48 = 8,092 : x
  2. Step 2: Convert to fraction form
    32,716/49,074.48 = 8,092/x
  3. Step 3: Cross multiply
    32,716x = 49,074.48 × 8,092
  4. Step 4: Simplify right side
    32,716x = 397,110,692.16
  5. Step 5: Solve for x
    x = 397,110,692.16/32,716
  6. Step 6: Final answer
    x = 12,138.12

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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.