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Finding the Fourth Proportional to 77,186.64, 115,815.96 and 27,304.50

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Solution

The fourth proportional to 77,186.64, 115,815.96 and 27,304.50 is: 40,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,186.64 : 115,815.96 = 27,304.50 : x
  2. Step 2: Convert to fraction form
    77,186.64/115,815.96 = 27,304.50/x
  3. Step 3: Cross multiply
    77,186.64x = 115,815.96 × 27,304.50
  4. Step 4: Simplify right side
    77,186.64x = 3,162,296,879.82
  5. Step 5: Solve for x
    x = 3,162,296,879.82/77,186.64
  6. Step 6: Final answer
    x = 40,969.48

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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.