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Finding the Fourth Proportional to 65,467.10, 90,344.97 and 36,787.97

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Solution

The fourth proportional to 65,467.10, 90,344.97 and 36,787.97 is: 50,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,467.10 : 90,344.97 = 36,787.97 : x
  2. Step 2: Convert to fraction form
    65,467.10/90,344.97 = 36,787.97/x
  3. Step 3: Cross multiply
    65,467.10x = 90,344.97 × 36,787.97
  4. Step 4: Simplify right side
    65,467.10x = 3,323,608,271.87
  5. Step 5: Solve for x
    x = 3,323,608,271.87/65,467.10
  6. Step 6: Final answer
    x = 50,767.61

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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.