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Finding the Fourth Proportional to 102,764.62, 154,150.14 and 27,884.50

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Solution

The fourth proportional to 102,764.62, 154,150.14 and 27,884.50 is: 41,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764.62 : 154,150.14 = 27,884.50 : x
  2. Step 2: Convert to fraction form
    102,764.62/154,150.14 = 27,884.50/x
  3. Step 3: Cross multiply
    102,764.62x = 154,150.14 × 27,884.50
  4. Step 4: Simplify right side
    102,764.62x = 4,298,399,578.83
  5. Step 5: Solve for x
    x = 4,298,399,578.83/102,764.62
  6. Step 6: Final answer
    x = 41,827.62

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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.