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Finding the Fourth Proportional to 76,379.60, 114,611.16 and 29,634.32

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Solution

The fourth proportional to 76,379.60, 114,611.16 and 29,634.32 is: 44,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379.60 : 114,611.16 = 29,634.32 : x
  2. Step 2: Convert to fraction form
    76,379.60/114,611.16 = 29,634.32/x
  3. Step 3: Cross multiply
    76,379.60x = 114,611.16 × 29,634.32
  4. Step 4: Simplify right side
    76,379.60x = 3,396,423,791.01
  5. Step 5: Solve for x
    x = 3,396,423,791.01/76,379.60
  6. Step 6: Final answer
    x = 44,467.68

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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.