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Finding the Fourth Proportional to 30,704.80, 46,057.20 and 10,984.90

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Solution

The fourth proportional to 30,704.80, 46,057.20 and 10,984.90 is: 16,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.80 : 46,057.20 = 10,984.90 : x
  2. Step 2: Convert to fraction form
    30,704.80/46,057.20 = 10,984.90/x
  3. Step 3: Cross multiply
    30,704.80x = 46,057.20 × 10,984.90
  4. Step 4: Simplify right side
    30,704.80x = 505,933,736.28
  5. Step 5: Solve for x
    x = 505,933,736.28/30,704.80
  6. Step 6: Final answer
    x = 16,477.35

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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.