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Finding the Fourth Proportional to 20,039.50, 30,050.54 and 9,512.54

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Solution

The fourth proportional to 20,039.50, 30,050.54 and 9,512.54 is: 14,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.50 : 30,050.54 = 9,512.54 : x
  2. Step 2: Convert to fraction form
    20,039.50/30,050.54 = 9,512.54/x
  3. Step 3: Cross multiply
    20,039.50x = 30,050.54 × 9,512.54
  4. Step 4: Simplify right side
    20,039.50x = 285,856,967.83
  5. Step 5: Solve for x
    x = 285,856,967.83/20,039.50
  6. Step 6: Final answer
    x = 14,264.67

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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.