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Finding the Fourth Proportional to 57,865.82, 86,798.73 and 54,910.94

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Solution

The fourth proportional to 57,865.82, 86,798.73 and 54,910.94 is: 82,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.82 : 86,798.73 = 54,910.94 : x
  2. Step 2: Convert to fraction form
    57,865.82/86,798.73 = 54,910.94/x
  3. Step 3: Cross multiply
    57,865.82x = 86,798.73 × 54,910.94
  4. Step 4: Simplify right side
    57,865.82x = 4,766,199,855.11
  5. Step 5: Solve for x
    x = 4,766,199,855.11/57,865.82
  6. Step 6: Final answer
    x = 82,366.41

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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.