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Finding the Fourth Proportional to 40,333, 55,659.54 and 22,669

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Solution

The fourth proportional to 40,333, 55,659.54 and 22,669 is: 31,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,333 : 55,659.54 = 22,669 : x
  2. Step 2: Convert to fraction form
    40,333/55,659.54 = 22,669/x
  3. Step 3: Cross multiply
    40,333x = 55,659.54 × 22,669
  4. Step 4: Simplify right side
    40,333x = 1,261,746,112.26
  5. Step 5: Solve for x
    x = 1,261,746,112.26/40,333
  6. Step 6: Final answer
    x = 31,283.22

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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.