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Finding the Fourth Proportional to 28,122.75, 42,172.52 and 11,471.49

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Solution

The fourth proportional to 28,122.75, 42,172.52 and 11,471.49 is: 17,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,122.75 : 42,172.52 = 11,471.49 : x
  2. Step 2: Convert to fraction form
    28,122.75/42,172.52 = 11,471.49/x
  3. Step 3: Cross multiply
    28,122.75x = 42,172.52 × 11,471.49
  4. Step 4: Simplify right side
    28,122.75x = 483,781,584.10
  5. Step 5: Solve for x
    x = 483,781,584.10/28,122.75
  6. Step 6: Final answer
    x = 17,202.50

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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.