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Finding the Fourth Proportional to 98,563.43, 147,843.02 and 32,003.44

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Solution

The fourth proportional to 98,563.43, 147,843.02 and 32,003.44 is: 48,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.43 : 147,843.02 = 32,003.44 : x
  2. Step 2: Convert to fraction form
    98,563.43/147,843.02 = 32,003.44/x
  3. Step 3: Cross multiply
    98,563.43x = 147,843.02 × 32,003.44
  4. Step 4: Simplify right side
    98,563.43x = 4,731,484,930.39
  5. Step 5: Solve for x
    x = 4,731,484,930.39/98,563.43
  6. Step 6: Final answer
    x = 48,004.47

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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.