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Finding the Fourth Proportional to 98,016.56, 147,024.92 and 27,895.88

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Solution

The fourth proportional to 98,016.56, 147,024.92 and 27,895.88 is: 41,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016.56 : 147,024.92 = 27,895.88 : x
  2. Step 2: Convert to fraction form
    98,016.56/147,024.92 = 27,895.88/x
  3. Step 3: Cross multiply
    98,016.56x = 147,024.92 × 27,895.88
  4. Step 4: Simplify right side
    98,016.56x = 4,101,389,525.33
  5. Step 5: Solve for x
    x = 4,101,389,525.33/98,016.56
  6. Step 6: Final answer
    x = 41,843.84

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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.