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Finding the Fourth Proportional to 28,205.46, 38,834.94 and 23,947.62

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Solution

The fourth proportional to 28,205.46, 38,834.94 and 23,947.62 is: 32,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.46 : 38,834.94 = 23,947.62 : x
  2. Step 2: Convert to fraction form
    28,205.46/38,834.94 = 23,947.62/x
  3. Step 3: Cross multiply
    28,205.46x = 38,834.94 × 23,947.62
  4. Step 4: Simplify right side
    28,205.46x = 930,004,385.84
  5. Step 5: Solve for x
    x = 930,004,385.84/28,205.46
  6. Step 6: Final answer
    x = 32,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.