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Finding the Fourth Proportional to 30,766.86, 46,121.94 and 12,059.64

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Solution

The fourth proportional to 30,766.86, 46,121.94 and 12,059.64 is: 18,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.86 : 46,121.94 = 12,059.64 : x
  2. Step 2: Convert to fraction form
    30,766.86/46,121.94 = 12,059.64/x
  3. Step 3: Cross multiply
    30,766.86x = 46,121.94 × 12,059.64
  4. Step 4: Simplify right side
    30,766.86x = 556,213,992.50
  5. Step 5: Solve for x
    x = 556,213,992.50/30,766.86
  6. Step 6: Final answer
    x = 18,078.35

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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.