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Finding the Fourth Proportional to 54,490.22, 81,735.22 and 15,047.22

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Solution

The fourth proportional to 54,490.22, 81,735.22 and 15,047.22 is: 22,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490.22 : 81,735.22 = 15,047.22 : x
  2. Step 2: Convert to fraction form
    54,490.22/81,735.22 = 15,047.22/x
  3. Step 3: Cross multiply
    54,490.22x = 81,735.22 × 15,047.22
  4. Step 4: Simplify right side
    54,490.22x = 1,229,887,761.85
  5. Step 5: Solve for x
    x = 1,229,887,761.85/54,490.22
  6. Step 6: Final answer
    x = 22,570.80

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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.