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Finding the Fourth Proportional to 97,396.44, 146,093.76 and 30,836.40

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Solution

The fourth proportional to 97,396.44, 146,093.76 and 30,836.40 is: 46,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,396.44 : 146,093.76 = 30,836.40 : x
  2. Step 2: Convert to fraction form
    97,396.44/146,093.76 = 30,836.40/x
  3. Step 3: Cross multiply
    97,396.44x = 146,093.76 × 30,836.40
  4. Step 4: Simplify right side
    97,396.44x = 4,505,005,620.86
  5. Step 5: Solve for x
    x = 4,505,005,620.86/97,396.44
  6. Step 6: Final answer
    x = 46,254.32

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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.