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Finding the Fourth Proportional to 75,840.80, 104,658.66 and 41,847.98

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Solution

The fourth proportional to 75,840.80, 104,658.66 and 41,847.98 is: 57,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,840.80 : 104,658.66 = 41,847.98 : x
  2. Step 2: Convert to fraction form
    75,840.80/104,658.66 = 41,847.98/x
  3. Step 3: Cross multiply
    75,840.80x = 104,658.66 × 41,847.98
  4. Step 4: Simplify right side
    75,840.80x = 4,379,752,987.21
  5. Step 5: Solve for x
    x = 4,379,752,987.21/75,840.80
  6. Step 6: Final answer
    x = 57,749.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.