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Finding the Fourth Proportional to 54,394.74, 81,596.06 and 22,773

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Solution

The fourth proportional to 54,394.74, 81,596.06 and 22,773 is: 34,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394.74 : 81,596.06 = 22,773 : x
  2. Step 2: Convert to fraction form
    54,394.74/81,596.06 = 22,773/x
  3. Step 3: Cross multiply
    54,394.74x = 81,596.06 × 22,773
  4. Step 4: Simplify right side
    54,394.74x = 1,858,187,131.31
  5. Step 5: Solve for x
    x = 1,858,187,131.31/54,394.74
  6. Step 6: Final answer
    x = 34,161.15

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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.