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Finding the Fourth Proportional to 107,522.84, 161,333.22 and 54,905.24

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Solution

The fourth proportional to 107,522.84, 161,333.22 and 54,905.24 is: 82,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,522.84 : 161,333.22 = 54,905.24 : x
  2. Step 2: Convert to fraction form
    107,522.84/161,333.22 = 54,905.24/x
  3. Step 3: Cross multiply
    107,522.84x = 161,333.22 × 54,905.24
  4. Step 4: Simplify right side
    107,522.84x = 8,858,039,164.07
  5. Step 5: Solve for x
    x = 8,858,039,164.07/107,522.84
  6. Step 6: Final answer
    x = 82,382.86

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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.