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Finding the Fourth Proportional to 29,406.42, 44,100.24 and 9,679.68

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Solution

The fourth proportional to 29,406.42, 44,100.24 and 9,679.68 is: 14,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.42 : 44,100.24 = 9,679.68 : x
  2. Step 2: Convert to fraction form
    29,406.42/44,100.24 = 9,679.68/x
  3. Step 3: Cross multiply
    29,406.42x = 44,100.24 × 9,679.68
  4. Step 4: Simplify right side
    29,406.42x = 426,876,211.12
  5. Step 5: Solve for x
    x = 426,876,211.12/29,406.42
  6. Step 6: Final answer
    x = 14,516.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.