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Finding the Fourth Proportional to 54,893.58, 82,323.78 and 23,302.98

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Solution

The fourth proportional to 54,893.58, 82,323.78 and 23,302.98 is: 34,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.58 : 82,323.78 = 23,302.98 : x
  2. Step 2: Convert to fraction form
    54,893.58/82,323.78 = 23,302.98/x
  3. Step 3: Cross multiply
    54,893.58x = 82,323.78 × 23,302.98
  4. Step 4: Simplify right side
    54,893.58x = 1,918,389,398.86
  5. Step 5: Solve for x
    x = 1,918,389,398.86/54,893.58
  6. Step 6: Final answer
    x = 34,947.43

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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.