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Finding the Fourth Proportional to 55,754.82, 76,943.16 and 31,554

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Solution

The fourth proportional to 55,754.82, 76,943.16 and 31,554 is: 43,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,754.82 : 76,943.16 = 31,554 : x
  2. Step 2: Convert to fraction form
    55,754.82/76,943.16 = 31,554/x
  3. Step 3: Cross multiply
    55,754.82x = 76,943.16 × 31,554
  4. Step 4: Simplify right side
    55,754.82x = 2,427,864,470.64
  5. Step 5: Solve for x
    x = 2,427,864,470.64/55,754.82
  6. Step 6: Final answer
    x = 43,545.37

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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.