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Finding the Fourth Proportional to 54,684.54, 82,026.81 and 31,294.44

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Solution

The fourth proportional to 54,684.54, 82,026.81 and 31,294.44 is: 46,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.54 : 82,026.81 = 31,294.44 : x
  2. Step 2: Convert to fraction form
    54,684.54/82,026.81 = 31,294.44/x
  3. Step 3: Cross multiply
    54,684.54x = 82,026.81 × 31,294.44
  4. Step 4: Simplify right side
    54,684.54x = 2,566,983,083.94
  5. Step 5: Solve for x
    x = 2,566,983,083.94/54,684.54
  6. Step 6: Final answer
    x = 46,941.66

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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.