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Finding the Fourth Proportional to 54,493.80, 81,679.95 and 21,202.80

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Solution

The fourth proportional to 54,493.80, 81,679.95 and 21,202.80 is: 31,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.80 : 81,679.95 = 21,202.80 : x
  2. Step 2: Convert to fraction form
    54,493.80/81,679.95 = 21,202.80/x
  3. Step 3: Cross multiply
    54,493.80x = 81,679.95 × 21,202.80
  4. Step 4: Simplify right side
    54,493.80x = 1,731,843,643.86
  5. Step 5: Solve for x
    x = 1,731,843,643.86/54,493.80
  6. Step 6: Final answer
    x = 31,780.56

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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.