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Finding the Fourth Proportional to 29,142.60, 43,704.63 and 9,416.49

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Solution

The fourth proportional to 29,142.60, 43,704.63 and 9,416.49 is: 14,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.60 : 43,704.63 = 9,416.49 : x
  2. Step 2: Convert to fraction form
    29,142.60/43,704.63 = 9,416.49/x
  3. Step 3: Cross multiply
    29,142.60x = 43,704.63 × 9,416.49
  4. Step 4: Simplify right side
    29,142.60x = 411,544,211.35
  5. Step 5: Solve for x
    x = 411,544,211.35/29,142.60
  6. Step 6: Final answer
    x = 14,121.74

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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.