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Finding the Fourth Proportional to 77,522.86, 116,290.67 and 33,150

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Solution

The fourth proportional to 77,522.86, 116,290.67 and 33,150 is: 49,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,522.86 : 116,290.67 = 33,150 : x
  2. Step 2: Convert to fraction form
    77,522.86/116,290.67 = 33,150/x
  3. Step 3: Cross multiply
    77,522.86x = 116,290.67 × 33,150
  4. Step 4: Simplify right side
    77,522.86x = 3,855,035,710.50
  5. Step 5: Solve for x
    x = 3,855,035,710.50/77,522.86
  6. Step 6: Final answer
    x = 49,727.73

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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.