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Finding the Fourth Proportional to 29,689.09, 44,536.56 and 8,629.31

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Solution

The fourth proportional to 29,689.09, 44,536.56 and 8,629.31 is: 12,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.09 : 44,536.56 = 8,629.31 : x
  2. Step 2: Convert to fraction form
    29,689.09/44,536.56 = 8,629.31/x
  3. Step 3: Cross multiply
    29,689.09x = 44,536.56 × 8,629.31
  4. Step 4: Simplify right side
    29,689.09x = 384,319,739.43
  5. Step 5: Solve for x
    x = 384,319,739.43/29,689.09
  6. Step 6: Final answer
    x = 12,944.82

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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.