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Finding the Fourth Proportional to 40,322, 55,644.36 and 22,658

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Solution

The fourth proportional to 40,322, 55,644.36 and 22,658 is: 31,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322 : 55,644.36 = 22,658 : x
  2. Step 2: Convert to fraction form
    40,322/55,644.36 = 22,658/x
  3. Step 3: Cross multiply
    40,322x = 55,644.36 × 22,658
  4. Step 4: Simplify right side
    40,322x = 1,260,789,908.88
  5. Step 5: Solve for x
    x = 1,260,789,908.88/40,322
  6. Step 6: Final answer
    x = 31,268.04

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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.