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Finding the Fourth Proportional to 77,891.89, 116,837.80 and 18,727.54

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Solution

The fourth proportional to 77,891.89, 116,837.80 and 18,727.54 is: 28,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,891.89 : 116,837.80 = 18,727.54 : x
  2. Step 2: Convert to fraction form
    77,891.89/116,837.80 = 18,727.54/x
  3. Step 3: Cross multiply
    77,891.89x = 116,837.80 × 18,727.54
  4. Step 4: Simplify right side
    77,891.89x = 2,188,084,573.01
  5. Step 5: Solve for x
    x = 2,188,084,573.01/77,891.89
  6. Step 6: Final answer
    x = 28,091.30

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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.