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Finding the Fourth Proportional to 34,184.48, 47,175.02 and 19,847.66

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Solution

The fourth proportional to 34,184.48, 47,175.02 and 19,847.66 is: 27,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184.48 : 47,175.02 = 19,847.66 : x
  2. Step 2: Convert to fraction form
    34,184.48/47,175.02 = 19,847.66/x
  3. Step 3: Cross multiply
    34,184.48x = 47,175.02 × 19,847.66
  4. Step 4: Simplify right side
    34,184.48x = 936,313,757.45
  5. Step 5: Solve for x
    x = 936,313,757.45/34,184.48
  6. Step 6: Final answer
    x = 27,390.02

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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.