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Finding the Fourth Proportional to 32,144.14, 44,351.75 and 19,399.40

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Solution

The fourth proportional to 32,144.14, 44,351.75 and 19,399.40 is: 26,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.14 : 44,351.75 = 19,399.40 : x
  2. Step 2: Convert to fraction form
    32,144.14/44,351.75 = 19,399.40/x
  3. Step 3: Cross multiply
    32,144.14x = 44,351.75 × 19,399.40
  4. Step 4: Simplify right side
    32,144.14x = 860,397,332.01
  5. Step 5: Solve for x
    x = 860,397,332.01/32,144.14
  6. Step 6: Final answer
    x = 26,766.85

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