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Finding the Fourth Proportional to 67,225.52, 100,834.64 and 20,474.75

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Solution

The fourth proportional to 67,225.52, 100,834.64 and 20,474.75 is: 30,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,225.52 : 100,834.64 = 20,474.75 : x
  2. Step 2: Convert to fraction form
    67,225.52/100,834.64 = 20,474.75/x
  3. Step 3: Cross multiply
    67,225.52x = 100,834.64 × 20,474.75
  4. Step 4: Simplify right side
    67,225.52x = 2,064,563,942.97
  5. Step 5: Solve for x
    x = 2,064,563,942.97/67,225.52
  6. Step 6: Final answer
    x = 30,711.01

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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.