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Finding the Fourth Proportional to 55,333.98, 76,355.76 and 31,456

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Solution

The fourth proportional to 55,333.98, 76,355.76 and 31,456 is: 43,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,333.98 : 76,355.76 = 31,456 : x
  2. Step 2: Convert to fraction form
    55,333.98/76,355.76 = 31,456/x
  3. Step 3: Cross multiply
    55,333.98x = 76,355.76 × 31,456
  4. Step 4: Simplify right side
    55,333.98x = 2,401,846,786.56
  5. Step 5: Solve for x
    x = 2,401,846,786.56/55,333.98
  6. Step 6: Final answer
    x = 43,406.36

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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.