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Finding the Fourth Proportional to 98,716.76, 148,087.48 and 32,163.64

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Solution

The fourth proportional to 98,716.76, 148,087.48 and 32,163.64 is: 48,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,716.76 : 148,087.48 = 32,163.64 : x
  2. Step 2: Convert to fraction form
    98,716.76/148,087.48 = 32,163.64/x
  3. Step 3: Cross multiply
    98,716.76x = 148,087.48 × 32,163.64
  4. Step 4: Simplify right side
    98,716.76x = 4,763,032,395.23
  5. Step 5: Solve for x
    x = 4,763,032,395.23/98,716.76
  6. Step 6: Final answer
    x = 48,249.48

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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.