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Finding the Fourth Proportional to 54,491.51, 81,768.84 and 22,899.08

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Solution

The fourth proportional to 54,491.51, 81,768.84 and 22,899.08 is: 34,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491.51 : 81,768.84 = 22,899.08 : x
  2. Step 2: Convert to fraction form
    54,491.51/81,768.84 = 22,899.08/x
  3. Step 3: Cross multiply
    54,491.51x = 81,768.84 × 22,899.08
  4. Step 4: Simplify right side
    54,491.51x = 1,872,430,799.82
  5. Step 5: Solve for x
    x = 1,872,430,799.82/54,491.51
  6. Step 6: Final answer
    x = 34,361.88

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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.