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Finding the Fourth Proportional to 34,075.92, 51,049.59 and 17,446.50

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Solution

The fourth proportional to 34,075.92, 51,049.59 and 17,446.50 is: 26,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.92 : 51,049.59 = 17,446.50 : x
  2. Step 2: Convert to fraction form
    34,075.92/51,049.59 = 17,446.50/x
  3. Step 3: Cross multiply
    34,075.92x = 51,049.59 × 17,446.50
  4. Step 4: Simplify right side
    34,075.92x = 890,636,671.94
  5. Step 5: Solve for x
    x = 890,636,671.94/34,075.92
  6. Step 6: Final answer
    x = 26,136.83

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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.