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Finding the Fourth Proportional to 54,466.88, 81,642.22 and 31,042.88

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Solution

The fourth proportional to 54,466.88, 81,642.22 and 31,042.88 is: 46,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,466.88 : 81,642.22 = 31,042.88 : x
  2. Step 2: Convert to fraction form
    54,466.88/81,642.22 = 31,042.88/x
  3. Step 3: Cross multiply
    54,466.88x = 81,642.22 × 31,042.88
  4. Step 4: Simplify right side
    54,466.88x = 2,534,409,638.39
  5. Step 5: Solve for x
    x = 2,534,409,638.39/54,466.88
  6. Step 6: Final answer
    x = 46,531.21

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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.