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Finding the Fourth Proportional to 29,405.44, 44,099.16 and 9,679.96

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Solution

The fourth proportional to 29,405.44, 44,099.16 and 9,679.96 is: 14,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.44 : 44,099.16 = 9,679.96 : x
  2. Step 2: Convert to fraction form
    29,405.44/44,099.16 = 9,679.96/x
  3. Step 3: Cross multiply
    29,405.44x = 44,099.16 × 9,679.96
  4. Step 4: Simplify right side
    29,405.44x = 426,878,104.83
  5. Step 5: Solve for x
    x = 426,878,104.83/29,405.44
  6. Step 6: Final answer
    x = 14,516.98

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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.