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Finding the Fourth Proportional to 34,205.68, 51,323.10 and 12,034.36

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Solution

The fourth proportional to 34,205.68, 51,323.10 and 12,034.36 is: 18,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.68 : 51,323.10 = 12,034.36 : x
  2. Step 2: Convert to fraction form
    34,205.68/51,323.10 = 12,034.36/x
  3. Step 3: Cross multiply
    34,205.68x = 51,323.10 × 12,034.36
  4. Step 4: Simplify right side
    34,205.68x = 617,640,661.72
  5. Step 5: Solve for x
    x = 617,640,661.72/34,205.68
  6. Step 6: Final answer
    x = 18,056.67

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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.