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Finding the Fourth Proportional to 43,874.91, 65,825.12 and 15,794.46

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Solution

The fourth proportional to 43,874.91, 65,825.12 and 15,794.46 is: 23,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,874.91 : 65,825.12 = 15,794.46 : x
  2. Step 2: Convert to fraction form
    43,874.91/65,825.12 = 15,794.46/x
  3. Step 3: Cross multiply
    43,874.91x = 65,825.12 × 15,794.46
  4. Step 4: Simplify right side
    43,874.91x = 1,039,672,264.32
  5. Step 5: Solve for x
    x = 1,039,672,264.32/43,874.91
  6. Step 6: Final answer
    x = 23,696.28

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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.