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Finding the Fourth Proportional to 27,902.36, 38,537.72 and 23,381.42

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Solution

The fourth proportional to 27,902.36, 38,537.72 and 23,381.42 is: 32,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.36 : 38,537.72 = 23,381.42 : x
  2. Step 2: Convert to fraction form
    27,902.36/38,537.72 = 23,381.42/x
  3. Step 3: Cross multiply
    27,902.36x = 38,537.72 × 23,381.42
  4. Step 4: Simplify right side
    27,902.36x = 901,066,617.16
  5. Step 5: Solve for x
    x = 901,066,617.16/27,902.36
  6. Step 6: Final answer
    x = 32,293.56

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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.