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Finding the Fourth Proportional to 75,076.31, 103,605.31 and 41,084.80

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Solution

The fourth proportional to 75,076.31, 103,605.31 and 41,084.80 is: 56,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.31 : 103,605.31 = 41,084.80 : x
  2. Step 2: Convert to fraction form
    75,076.31/103,605.31 = 41,084.80/x
  3. Step 3: Cross multiply
    75,076.31x = 103,605.31 × 41,084.80
  4. Step 4: Simplify right side
    75,076.31x = 4,256,603,440.29
  5. Step 5: Solve for x
    x = 4,256,603,440.29/75,076.31
  6. Step 6: Final answer
    x = 56,697.03

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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.