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Finding the Fourth Proportional to 34,658.19, 51,991.35 and 12,162

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Solution

The fourth proportional to 34,658.19, 51,991.35 and 12,162 is: 18,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.19 : 51,991.35 = 12,162 : x
  2. Step 2: Convert to fraction form
    34,658.19/51,991.35 = 12,162/x
  3. Step 3: Cross multiply
    34,658.19x = 51,991.35 × 12,162
  4. Step 4: Simplify right side
    34,658.19x = 632,318,798.70
  5. Step 5: Solve for x
    x = 632,318,798.70/34,658.19
  6. Step 6: Final answer
    x = 18,244.43

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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.