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Finding the Fourth Proportional to 76,190.41, 113,822.29 and 49,317.49

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Solution

The fourth proportional to 76,190.41, 113,822.29 and 49,317.49 is: 73,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,190.41 : 113,822.29 = 49,317.49 : x
  2. Step 2: Convert to fraction form
    76,190.41/113,822.29 = 49,317.49/x
  3. Step 3: Cross multiply
    76,190.41x = 113,822.29 × 49,317.49
  4. Step 4: Simplify right side
    76,190.41x = 5,613,429,648.85
  5. Step 5: Solve for x
    x = 5,613,429,648.85/76,190.41
  6. Step 6: Final answer
    x = 73,676.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.