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Finding the Fourth Proportional to 38,554.72, 53,184.97 and 23,452

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Solution

The fourth proportional to 38,554.72, 53,184.97 and 23,452 is: 32,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,554.72 : 53,184.97 = 23,452 : x
  2. Step 2: Convert to fraction form
    38,554.72/53,184.97 = 23,452/x
  3. Step 3: Cross multiply
    38,554.72x = 53,184.97 × 23,452
  4. Step 4: Simplify right side
    38,554.72x = 1,247,293,916.44
  5. Step 5: Solve for x
    x = 1,247,293,916.44/38,554.72
  6. Step 6: Final answer
    x = 32,351.26

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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.