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Finding the Fourth Proportional to 62,922.32, 86,832.74 and 34,628

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Solution

The fourth proportional to 62,922.32, 86,832.74 and 34,628 is: 47,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,922.32 : 86,832.74 = 34,628 : x
  2. Step 2: Convert to fraction form
    62,922.32/86,832.74 = 34,628/x
  3. Step 3: Cross multiply
    62,922.32x = 86,832.74 × 34,628
  4. Step 4: Simplify right side
    62,922.32x = 3,006,844,120.72
  5. Step 5: Solve for x
    x = 3,006,844,120.72/62,922.32
  6. Step 6: Final answer
    x = 47,786.61

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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.