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Finding the Fourth Proportional to 30,778.73, 46,168.11 and 9,733.55

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Solution

The fourth proportional to 30,778.73, 46,168.11 and 9,733.55 is: 14,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.73 : 46,168.11 = 9,733.55 : x
  2. Step 2: Convert to fraction form
    30,778.73/46,168.11 = 9,733.55/x
  3. Step 3: Cross multiply
    30,778.73x = 46,168.11 × 9,733.55
  4. Step 4: Simplify right side
    30,778.73x = 449,379,376.25
  5. Step 5: Solve for x
    x = 449,379,376.25/30,778.73
  6. Step 6: Final answer
    x = 14,600.32

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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.