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Finding the Fourth Proportional to 98,336.08, 147,489.54 and 35,992

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Solution

The fourth proportional to 98,336.08, 147,489.54 and 35,992 is: 53,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,336.08 : 147,489.54 = 35,992 : x
  2. Step 2: Convert to fraction form
    98,336.08/147,489.54 = 35,992/x
  3. Step 3: Cross multiply
    98,336.08x = 147,489.54 × 35,992
  4. Step 4: Simplify right side
    98,336.08x = 5,308,443,523.68
  5. Step 5: Solve for x
    x = 5,308,443,523.68/98,336.08
  6. Step 6: Final answer
    x = 53,982.66

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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.