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Finding the Fourth Proportional to 35,832.32, 49,454 and 25,794

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Solution

The fourth proportional to 35,832.32, 49,454 and 25,794 is: 35,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.32 : 49,454 = 25,794 : x
  2. Step 2: Convert to fraction form
    35,832.32/49,454 = 25,794/x
  3. Step 3: Cross multiply
    35,832.32x = 49,454 × 25,794
  4. Step 4: Simplify right side
    35,832.32x = 1,275,616,476
  5. Step 5: Solve for x
    x = 1,275,616,476/35,832.32
  6. Step 6: Final answer
    x = 35,599.61

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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.