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Finding the Fourth Proportional to 76,997, 106,255.86 and 41,669

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Solution

The fourth proportional to 76,997, 106,255.86 and 41,669 is: 57,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997 : 106,255.86 = 41,669 : x
  2. Step 2: Convert to fraction form
    76,997/106,255.86 = 41,669/x
  3. Step 3: Cross multiply
    76,997x = 106,255.86 × 41,669
  4. Step 4: Simplify right side
    76,997x = 4,427,575,430.34
  5. Step 5: Solve for x
    x = 4,427,575,430.34/76,997
  6. Step 6: Final answer
    x = 57,503.22

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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.