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Finding the Fourth Proportional to 98,247.36, 147,327 and 35,874

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Solution

The fourth proportional to 98,247.36, 147,327 and 35,874 is: 53,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247.36 : 147,327 = 35,874 : x
  2. Step 2: Convert to fraction form
    98,247.36/147,327 = 35,874/x
  3. Step 3: Cross multiply
    98,247.36x = 147,327 × 35,874
  4. Step 4: Simplify right side
    98,247.36x = 5,285,208,798
  5. Step 5: Solve for x
    x = 5,285,208,798/98,247.36
  6. Step 6: Final answer
    x = 53,794.92

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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.