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Finding the Fourth Proportional to 97,321.59, 145,969.83 and 30,768.48

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Solution

The fourth proportional to 97,321.59, 145,969.83 and 30,768.48 is: 46,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.59 : 145,969.83 = 30,768.48 : x
  2. Step 2: Convert to fraction form
    97,321.59/145,969.83 = 30,768.48/x
  3. Step 3: Cross multiply
    97,321.59x = 145,969.83 × 30,768.48
  4. Step 4: Simplify right side
    97,321.59x = 4,491,269,794.96
  5. Step 5: Solve for x
    x = 4,491,269,794.96/97,321.59
  6. Step 6: Final answer
    x = 46,148.75

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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.