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Finding the Fourth Proportional to 73,954.14, 110,851.21 and 29,532.06

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Solution

The fourth proportional to 73,954.14, 110,851.21 and 29,532.06 is: 44,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954.14 : 110,851.21 = 29,532.06 : x
  2. Step 2: Convert to fraction form
    73,954.14/110,851.21 = 29,532.06/x
  3. Step 3: Cross multiply
    73,954.14x = 110,851.21 × 29,532.06
  4. Step 4: Simplify right side
    73,954.14x = 3,273,664,584.79
  5. Step 5: Solve for x
    x = 3,273,664,584.79/73,954.14
  6. Step 6: Final answer
    x = 44,266.14

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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.