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Finding the Fourth Proportional to 29,647.50, 44,458.26 and 8,866.14

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Solution

The fourth proportional to 29,647.50, 44,458.26 and 8,866.14 is: 13,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.50 : 44,458.26 = 8,866.14 : x
  2. Step 2: Convert to fraction form
    29,647.50/44,458.26 = 8,866.14/x
  3. Step 3: Cross multiply
    29,647.50x = 44,458.26 × 8,866.14
  4. Step 4: Simplify right side
    29,647.50x = 394,173,157.32
  5. Step 5: Solve for x
    x = 394,173,157.32/29,647.50
  6. Step 6: Final answer
    x = 13,295.33

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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.