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Finding the Fourth Proportional to 30,626.92, 45,942.90 and 13,096.90

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Solution

The fourth proportional to 30,626.92, 45,942.90 and 13,096.90 is: 19,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.92 : 45,942.90 = 13,096.90 : x
  2. Step 2: Convert to fraction form
    30,626.92/45,942.90 = 13,096.90/x
  3. Step 3: Cross multiply
    30,626.92x = 45,942.90 × 13,096.90
  4. Step 4: Simplify right side
    30,626.92x = 601,709,567.01
  5. Step 5: Solve for x
    x = 601,709,567.01/30,626.92
  6. Step 6: Final answer
    x = 19,646.43

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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.