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Finding the Fourth Proportional to 75,297.98, 103,912.18 and 41,304.26

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Solution

The fourth proportional to 75,297.98, 103,912.18 and 41,304.26 is: 57,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.98 : 103,912.18 = 41,304.26 : x
  2. Step 2: Convert to fraction form
    75,297.98/103,912.18 = 41,304.26/x
  3. Step 3: Cross multiply
    75,297.98x = 103,912.18 × 41,304.26
  4. Step 4: Simplify right side
    75,297.98x = 4,292,015,699.89
  5. Step 5: Solve for x
    x = 4,292,015,699.89/75,297.98
  6. Step 6: Final answer
    x = 57,000.41

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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.