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Finding the Fourth Proportional to 30,896.80, 46,334.40 and 16,100.80

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Solution

The fourth proportional to 30,896.80, 46,334.40 and 16,100.80 is: 24,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.80 : 46,334.40 = 16,100.80 : x
  2. Step 2: Convert to fraction form
    30,896.80/46,334.40 = 16,100.80/x
  3. Step 3: Cross multiply
    30,896.80x = 46,334.40 × 16,100.80
  4. Step 4: Simplify right side
    30,896.80x = 746,020,907.52
  5. Step 5: Solve for x
    x = 746,020,907.52/30,896.80
  6. Step 6: Final answer
    x = 24,145.57

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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.