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Finding the Fourth Proportional to 54,254.70, 81,394.20 and 20,971.80

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Solution

The fourth proportional to 54,254.70, 81,394.20 and 20,971.80 is: 31,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254.70 : 81,394.20 = 20,971.80 : x
  2. Step 2: Convert to fraction form
    54,254.70/81,394.20 = 20,971.80/x
  3. Step 3: Cross multiply
    54,254.70x = 81,394.20 × 20,971.80
  4. Step 4: Simplify right side
    54,254.70x = 1,706,982,883.56
  5. Step 5: Solve for x
    x = 1,706,982,883.56/54,254.70
  6. Step 6: Final answer
    x = 31,462.40

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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.