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Finding the Fourth Proportional to 56,883.44, 78,456.80 and 41,771.36

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Solution

The fourth proportional to 56,883.44, 78,456.80 and 41,771.36 is: 57,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,883.44 : 78,456.80 = 41,771.36 : x
  2. Step 2: Convert to fraction form
    56,883.44/78,456.80 = 41,771.36/x
  3. Step 3: Cross multiply
    56,883.44x = 78,456.80 × 41,771.36
  4. Step 4: Simplify right side
    56,883.44x = 3,277,247,237.25
  5. Step 5: Solve for x
    x = 3,277,247,237.25/56,883.44
  6. Step 6: Final answer
    x = 57,613.38

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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.