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Finding the Fourth Proportional to 24,687.75, 37,024.56 and 8,049.23

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Solution

The fourth proportional to 24,687.75, 37,024.56 and 8,049.23 is: 12,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.75 : 37,024.56 = 8,049.23 : x
  2. Step 2: Convert to fraction form
    24,687.75/37,024.56 = 8,049.23/x
  3. Step 3: Cross multiply
    24,687.75x = 37,024.56 × 8,049.23
  4. Step 4: Simplify right side
    24,687.75x = 298,019,199.09
  5. Step 5: Solve for x
    x = 298,019,199.09/24,687.75
  6. Step 6: Final answer
    x = 12,071.54

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1.5x scale

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.