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Finding the Fourth Proportional to 29,460.63, 44,197.86 and 9,739.19

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Solution

The fourth proportional to 29,460.63, 44,197.86 and 9,739.19 is: 14,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,460.63 : 44,197.86 = 9,739.19 : x
  2. Step 2: Convert to fraction form
    29,460.63/44,197.86 = 9,739.19/x
  3. Step 3: Cross multiply
    29,460.63x = 44,197.86 × 9,739.19
  4. Step 4: Simplify right side
    29,460.63x = 430,451,135.14
  5. Step 5: Solve for x
    x = 430,451,135.14/29,460.63
  6. Step 6: Final answer
    x = 14,611.06

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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.