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Finding the Fourth Proportional to 30,855.57, 46,300.10 and 13,096.22

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Solution

The fourth proportional to 30,855.57, 46,300.10 and 13,096.22 is: 19,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.57 : 46,300.10 = 13,096.22 : x
  2. Step 2: Convert to fraction form
    30,855.57/46,300.10 = 13,096.22/x
  3. Step 3: Cross multiply
    30,855.57x = 46,300.10 × 13,096.22
  4. Step 4: Simplify right side
    30,855.57x = 606,355,998.64
  5. Step 5: Solve for x
    x = 606,355,998.64/30,855.57
  6. Step 6: Final answer
    x = 19,651.43

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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.