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Finding the Fourth Proportional to 67,830.70, 101,664.46 and 25,102.03

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Solution

The fourth proportional to 67,830.70, 101,664.46 and 25,102.03 is: 37,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.70 : 101,664.46 = 25,102.03 : x
  2. Step 2: Convert to fraction form
    67,830.70/101,664.46 = 25,102.03/x
  3. Step 3: Cross multiply
    67,830.70x = 101,664.46 × 25,102.03
  4. Step 4: Simplify right side
    67,830.70x = 2,551,984,324.85
  5. Step 5: Solve for x
    x = 2,551,984,324.85/67,830.70
  6. Step 6: Final answer
    x = 37,622.85

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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.