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Finding the Fourth Proportional to 77,326.10, 115,956.32 and 27,418.76

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Solution

The fourth proportional to 77,326.10, 115,956.32 and 27,418.76 is: 41,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,326.10 : 115,956.32 = 27,418.76 : x
  2. Step 2: Convert to fraction form
    77,326.10/115,956.32 = 27,418.76/x
  3. Step 3: Cross multiply
    77,326.10x = 115,956.32 × 27,418.76
  4. Step 4: Simplify right side
    77,326.10x = 3,179,377,791.69
  5. Step 5: Solve for x
    x = 3,179,377,791.69/77,326.10
  6. Step 6: Final answer
    x = 41,116.49

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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.