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Finding the Fourth Proportional to 30,834.70, 46,241.07 and 11,107.96

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Solution

The fourth proportional to 30,834.70, 46,241.07 and 11,107.96 is: 16,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.70 : 46,241.07 = 11,107.96 : x
  2. Step 2: Convert to fraction form
    30,834.70/46,241.07 = 11,107.96/x
  3. Step 3: Cross multiply
    30,834.70x = 46,241.07 × 11,107.96
  4. Step 4: Simplify right side
    30,834.70x = 513,643,955.92
  5. Step 5: Solve for x
    x = 513,643,955.92/30,834.70
  6. Step 6: Final answer
    x = 16,657.98

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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.