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Finding the Fourth Proportional to 38,855.94, 53,623.16 and 22,940.04

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Solution

The fourth proportional to 38,855.94, 53,623.16 and 22,940.04 is: 31,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855.94 : 53,623.16 = 22,940.04 : x
  2. Step 2: Convert to fraction form
    38,855.94/53,623.16 = 22,940.04/x
  3. Step 3: Cross multiply
    38,855.94x = 53,623.16 × 22,940.04
  4. Step 4: Simplify right side
    38,855.94x = 1,230,117,569.38
  5. Step 5: Solve for x
    x = 1,230,117,569.38/38,855.94
  6. Step 6: Final answer
    x = 31,658.42

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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.