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Finding the Fourth Proportional to 54,017.50, 81,017.13 and 19,816.22

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Solution

The fourth proportional to 54,017.50, 81,017.13 and 19,816.22 is: 29,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,017.50 : 81,017.13 = 19,816.22 : x
  2. Step 2: Convert to fraction form
    54,017.50/81,017.13 = 19,816.22/x
  3. Step 3: Cross multiply
    54,017.50x = 81,017.13 × 19,816.22
  4. Step 4: Simplify right side
    54,017.50x = 1,605,453,548.70
  5. Step 5: Solve for x
    x = 1,605,453,548.70/54,017.50
  6. Step 6: Final answer
    x = 29,720.99

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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.