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Finding the Fourth Proportional to 27,157, 40,735.74 and 10,741

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Solution

The fourth proportional to 27,157, 40,735.74 and 10,741 is: 16,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157 : 40,735.74 = 10,741 : x
  2. Step 2: Convert to fraction form
    27,157/40,735.74 = 10,741/x
  3. Step 3: Cross multiply
    27,157x = 40,735.74 × 10,741
  4. Step 4: Simplify right side
    27,157x = 437,542,583.34
  5. Step 5: Solve for x
    x = 437,542,583.34/27,157
  6. Step 6: Final answer
    x = 16,111.59

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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.