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Finding the Fourth Proportional to 38,846.82, 53,607.02 and 22,936.40

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Solution

The fourth proportional to 38,846.82, 53,607.02 and 22,936.40 is: 31,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,846.82 : 53,607.02 = 22,936.40 : x
  2. Step 2: Convert to fraction form
    38,846.82/53,607.02 = 22,936.40/x
  3. Step 3: Cross multiply
    38,846.82x = 53,607.02 × 22,936.40
  4. Step 4: Simplify right side
    38,846.82x = 1,229,552,053.53
  5. Step 5: Solve for x
    x = 1,229,552,053.53/38,846.82
  6. Step 6: Final answer
    x = 31,651.29

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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.