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Finding the Fourth Proportional to 67,874.95, 101,771.52 and 30,428.25

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Solution

The fourth proportional to 67,874.95, 101,771.52 and 30,428.25 is: 45,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.95 : 101,771.52 = 30,428.25 : x
  2. Step 2: Convert to fraction form
    67,874.95/101,771.52 = 30,428.25/x
  3. Step 3: Cross multiply
    67,874.95x = 101,771.52 × 30,428.25
  4. Step 4: Simplify right side
    67,874.95x = 3,096,729,253.44
  5. Step 5: Solve for x
    x = 3,096,729,253.44/67,874.95
  6. Step 6: Final answer
    x = 45,624.04

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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.