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Finding the Fourth Proportional to 73,214.98, 109,839.36 and 31,096.42

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Solution

The fourth proportional to 73,214.98, 109,839.36 and 31,096.42 is: 46,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.98 : 109,839.36 = 31,096.42 : x
  2. Step 2: Convert to fraction form
    73,214.98/109,839.36 = 31,096.42/x
  3. Step 3: Cross multiply
    73,214.98x = 109,839.36 × 31,096.42
  4. Step 4: Simplify right side
    73,214.98x = 3,415,610,871.09
  5. Step 5: Solve for x
    x = 3,415,610,871.09/73,214.98
  6. Step 6: Final answer
    x = 46,651.80

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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.