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Finding the Fourth Proportional to 23,833.97, 35,737.06 and 8,033.81

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Solution

The fourth proportional to 23,833.97, 35,737.06 and 8,033.81 is: 12,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.97 : 35,737.06 = 8,033.81 : x
  2. Step 2: Convert to fraction form
    23,833.97/35,737.06 = 8,033.81/x
  3. Step 3: Cross multiply
    23,833.97x = 35,737.06 × 8,033.81
  4. Step 4: Simplify right side
    23,833.97x = 287,104,678.10
  5. Step 5: Solve for x
    x = 287,104,678.10/23,833.97
  6. Step 6: Final answer
    x = 12,046.03

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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.