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Finding the Fourth Proportional to 54,523.25, 81,795.84 and 19,461.99

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Solution

The fourth proportional to 54,523.25, 81,795.84 and 19,461.99 is: 29,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,523.25 : 81,795.84 = 19,461.99 : x
  2. Step 2: Convert to fraction form
    54,523.25/81,795.84 = 19,461.99/x
  3. Step 3: Cross multiply
    54,523.25x = 81,795.84 × 19,461.99
  4. Step 4: Simplify right side
    54,523.25x = 1,591,909,820.12
  5. Step 5: Solve for x
    x = 1,591,909,820.12/54,523.25
  6. Step 6: Final answer
    x = 29,196.90

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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.