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Finding the Fourth Proportional to 75,721.50, 113,630.85 and 34,168.50

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Solution

The fourth proportional to 75,721.50, 113,630.85 and 34,168.50 is: 51,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,721.50 : 113,630.85 = 34,168.50 : x
  2. Step 2: Convert to fraction form
    75,721.50/113,630.85 = 34,168.50/x
  3. Step 3: Cross multiply
    75,721.50x = 113,630.85 × 34,168.50
  4. Step 4: Simplify right side
    75,721.50x = 3,882,595,698.23
  5. Step 5: Solve for x
    x = 3,882,595,698.23/75,721.50
  6. Step 6: Final answer
    x = 51,274.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.