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Finding the Fourth Proportional to 98,035.25, 147,074.75 and 35,705.75

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Solution

The fourth proportional to 98,035.25, 147,074.75 and 35,705.75 is: 53,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,035.25 : 147,074.75 = 35,705.75 : x
  2. Step 2: Convert to fraction form
    98,035.25/147,074.75 = 35,705.75/x
  3. Step 3: Cross multiply
    98,035.25x = 147,074.75 × 35,705.75
  4. Step 4: Simplify right side
    98,035.25x = 5,251,414,076.28
  5. Step 5: Solve for x
    x = 5,251,414,076.28/98,035.25
  6. Step 6: Final answer
    x = 53,566.59

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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.