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Finding the Fourth Proportional to 54,562.34, 81,815.83 and 24,954.82

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Solution

The fourth proportional to 54,562.34, 81,815.83 and 24,954.82 is: 37,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,562.34 : 81,815.83 = 24,954.82 : x
  2. Step 2: Convert to fraction form
    54,562.34/81,815.83 = 24,954.82/x
  3. Step 3: Cross multiply
    54,562.34x = 81,815.83 × 24,954.82
  4. Step 4: Simplify right side
    54,562.34x = 2,041,699,043.87
  5. Step 5: Solve for x
    x = 2,041,699,043.87/54,562.34
  6. Step 6: Final answer
    x = 37,419.56

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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.