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Finding the Fourth Proportional to 30,670.56, 46,003.62 and 8,179.50

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Solution

The fourth proportional to 30,670.56, 46,003.62 and 8,179.50 is: 12,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.56 : 46,003.62 = 8,179.50 : x
  2. Step 2: Convert to fraction form
    30,670.56/46,003.62 = 8,179.50/x
  3. Step 3: Cross multiply
    30,670.56x = 46,003.62 × 8,179.50
  4. Step 4: Simplify right side
    30,670.56x = 376,286,609.79
  5. Step 5: Solve for x
    x = 376,286,609.79/30,670.56
  6. Step 6: Final answer
    x = 12,268.66

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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.