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Finding the Fourth Proportional to 98,014.12, 146,999.10 and 27,891.88

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Solution

The fourth proportional to 98,014.12, 146,999.10 and 27,891.88 is: 41,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014.12 : 146,999.10 = 27,891.88 : x
  2. Step 2: Convert to fraction form
    98,014.12/146,999.10 = 27,891.88/x
  3. Step 3: Cross multiply
    98,014.12x = 146,999.10 × 27,891.88
  4. Step 4: Simplify right side
    98,014.12x = 4,100,081,257.31
  5. Step 5: Solve for x
    x = 4,100,081,257.31/98,014.12
  6. Step 6: Final answer
    x = 41,831.54

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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.