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Finding the Fourth Proportional to 54,644.46, 81,977.10 and 21,362.46

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Solution

The fourth proportional to 54,644.46, 81,977.10 and 21,362.46 is: 32,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,644.46 : 81,977.10 = 21,362.46 : x
  2. Step 2: Convert to fraction form
    54,644.46/81,977.10 = 21,362.46/x
  3. Step 3: Cross multiply
    54,644.46x = 81,977.10 × 21,362.46
  4. Step 4: Simplify right side
    54,644.46x = 1,751,232,519.67
  5. Step 5: Solve for x
    x = 1,751,232,519.67/54,644.46
  6. Step 6: Final answer
    x = 32,047.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.