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Finding the Fourth Proportional to 40,568, 55,983.84 and 22,904

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Solution

The fourth proportional to 40,568, 55,983.84 and 22,904 is: 31,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,568 : 55,983.84 = 22,904 : x
  2. Step 2: Convert to fraction form
    40,568/55,983.84 = 22,904/x
  3. Step 3: Cross multiply
    40,568x = 55,983.84 × 22,904
  4. Step 4: Simplify right side
    40,568x = 1,282,253,871.36
  5. Step 5: Solve for x
    x = 1,282,253,871.36/40,568
  6. Step 6: Final answer
    x = 31,607.52

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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.