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Finding the Fourth Proportional to 98,768.25, 148,117.32 and 35,571.42

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Solution

The fourth proportional to 98,768.25, 148,117.32 and 35,571.42 is: 53,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,768.25 : 148,117.32 = 35,571.42 : x
  2. Step 2: Convert to fraction form
    98,768.25/148,117.32 = 35,571.42/x
  3. Step 3: Cross multiply
    98,768.25x = 148,117.32 × 35,571.42
  4. Step 4: Simplify right side
    98,768.25x = 5,268,743,398.99
  5. Step 5: Solve for x
    x = 5,268,743,398.99/98,768.25
  6. Step 6: Final answer
    x = 53,344.50

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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.