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Finding the Fourth Proportional to 77,489.44, 116,234.16 and 22,084

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Solution

The fourth proportional to 77,489.44, 116,234.16 and 22,084 is: 33,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489.44 : 116,234.16 = 22,084 : x
  2. Step 2: Convert to fraction form
    77,489.44/116,234.16 = 22,084/x
  3. Step 3: Cross multiply
    77,489.44x = 116,234.16 × 22,084
  4. Step 4: Simplify right side
    77,489.44x = 2,566,915,189.44
  5. Step 5: Solve for x
    x = 2,566,915,189.44/77,489.44
  6. Step 6: Final answer
    x = 33,126

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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.