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Finding the Fourth Proportional to 27,044, 40,571.12 and 12,452

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Solution

The fourth proportional to 27,044, 40,571.12 and 12,452 is: 18,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044 : 40,571.12 = 12,452 : x
  2. Step 2: Convert to fraction form
    27,044/40,571.12 = 12,452/x
  3. Step 3: Cross multiply
    27,044x = 40,571.12 × 12,452
  4. Step 4: Simplify right side
    27,044x = 505,191,586.24
  5. Step 5: Solve for x
    x = 505,191,586.24/27,044
  6. Step 6: Final answer
    x = 18,680.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.