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Finding the Fourth Proportional to 82,194.63, 123,292.77 and 26,033.67

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Solution

The fourth proportional to 82,194.63, 123,292.77 and 26,033.67 is: 39,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.63 : 123,292.77 = 26,033.67 : x
  2. Step 2: Convert to fraction form
    82,194.63/123,292.77 = 26,033.67/x
  3. Step 3: Cross multiply
    82,194.63x = 123,292.77 × 26,033.67
  4. Step 4: Simplify right side
    82,194.63x = 3,209,763,287.57
  5. Step 5: Solve for x
    x = 3,209,763,287.57/82,194.63
  6. Step 6: Final answer
    x = 39,050.77

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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.