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Finding the Fourth Proportional to 54,171.90, 81,288.90 and 29,211.84

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Solution

The fourth proportional to 54,171.90, 81,288.90 and 29,211.84 is: 43,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,171.90 : 81,288.90 = 29,211.84 : x
  2. Step 2: Convert to fraction form
    54,171.90/81,288.90 = 29,211.84/x
  3. Step 3: Cross multiply
    54,171.90x = 81,288.90 × 29,211.84
  4. Step 4: Simplify right side
    54,171.90x = 2,374,598,340.58
  5. Step 5: Solve for x
    x = 2,374,598,340.58/54,171.90
  6. Step 6: Final answer
    x = 43,834.50

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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.