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Finding the Fourth Proportional to 30,731.44, 46,100.44 and 8,544.88

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Solution

The fourth proportional to 30,731.44, 46,100.44 and 8,544.88 is: 12,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.44 : 46,100.44 = 8,544.88 : x
  2. Step 2: Convert to fraction form
    30,731.44/46,100.44 = 8,544.88/x
  3. Step 3: Cross multiply
    30,731.44x = 46,100.44 × 8,544.88
  4. Step 4: Simplify right side
    30,731.44x = 393,922,727.75
  5. Step 5: Solve for x
    x = 393,922,727.75/30,731.44
  6. Step 6: Final answer
    x = 12,818.23

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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.