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Finding the Fourth Proportional to 71,180.44, 106,768.57 and 18,589.93

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Solution

The fourth proportional to 71,180.44, 106,768.57 and 18,589.93 is: 27,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180.44 : 106,768.57 = 18,589.93 : x
  2. Step 2: Convert to fraction form
    71,180.44/106,768.57 = 18,589.93/x
  3. Step 3: Cross multiply
    71,180.44x = 106,768.57 × 18,589.93
  4. Step 4: Simplify right side
    71,180.44x = 1,984,820,242.50
  5. Step 5: Solve for x
    x = 1,984,820,242.50/71,180.44
  6. Step 6: Final answer
    x = 27,884.35

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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.