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Finding the Fourth Proportional to 54,293.15, 81,417.85 and 22,682.50

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Solution

The fourth proportional to 54,293.15, 81,417.85 and 22,682.50 is: 34,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,293.15 : 81,417.85 = 22,682.50 : x
  2. Step 2: Convert to fraction form
    54,293.15/81,417.85 = 22,682.50/x
  3. Step 3: Cross multiply
    54,293.15x = 81,417.85 × 22,682.50
  4. Step 4: Simplify right side
    54,293.15x = 1,846,760,382.63
  5. Step 5: Solve for x
    x = 1,846,760,382.63/54,293.15
  6. Step 6: Final answer
    x = 34,014.61

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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.