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Finding the Fourth Proportional to 81,321.52, 122,121.88 and 49,916

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Solution

The fourth proportional to 81,321.52, 122,121.88 and 49,916 is: 74,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,321.52 : 122,121.88 = 49,916 : x
  2. Step 2: Convert to fraction form
    81,321.52/122,121.88 = 49,916/x
  3. Step 3: Cross multiply
    81,321.52x = 122,121.88 × 49,916
  4. Step 4: Simplify right side
    81,321.52x = 6,095,835,762.08
  5. Step 5: Solve for x
    x = 6,095,835,762.08/81,321.52
  6. Step 6: Final answer
    x = 74,959.69

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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.