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Finding the Fourth Proportional to 76,137.56, 114,223.62 and 41,076.44

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Solution

The fourth proportional to 76,137.56, 114,223.62 and 41,076.44 is: 61,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137.56 : 114,223.62 = 41,076.44 : x
  2. Step 2: Convert to fraction form
    76,137.56/114,223.62 = 41,076.44/x
  3. Step 3: Cross multiply
    76,137.56x = 114,223.62 × 41,076.44
  4. Step 4: Simplify right side
    76,137.56x = 4,691,899,673.51
  5. Step 5: Solve for x
    x = 4,691,899,673.51/76,137.56
  6. Step 6: Final answer
    x = 61,623.98

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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.