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Finding the Fourth Proportional to 55,768.56, 76,955.82 and 31,891.38

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Solution

The fourth proportional to 55,768.56, 76,955.82 and 31,891.38 is: 44,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.56 : 76,955.82 = 31,891.38 : x
  2. Step 2: Convert to fraction form
    55,768.56/76,955.82 = 31,891.38/x
  3. Step 3: Cross multiply
    55,768.56x = 76,955.82 × 31,891.38
  4. Step 4: Simplify right side
    55,768.56x = 2,454,227,298.83
  5. Step 5: Solve for x
    x = 2,454,227,298.83/55,768.56
  6. Step 6: Final answer
    x = 44,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.