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Finding the Fourth Proportional to 54,842.99, 82,267.41 and 17,405.90

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Solution

The fourth proportional to 54,842.99, 82,267.41 and 17,405.90 is: 26,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.99 : 82,267.41 = 17,405.90 : x
  2. Step 2: Convert to fraction form
    54,842.99/82,267.41 = 17,405.90/x
  3. Step 3: Cross multiply
    54,842.99x = 82,267.41 × 17,405.90
  4. Step 4: Simplify right side
    54,842.99x = 1,431,938,274.16
  5. Step 5: Solve for x
    x = 1,431,938,274.16/54,842.99
  6. Step 6: Final answer
    x = 26,109.78

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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.