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Finding the Fourth Proportional to 53,050.75, 73,214 and 30,396.79

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Solution

The fourth proportional to 53,050.75, 73,214 and 30,396.79 is: 41,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050.75 : 73,214 = 30,396.79 : x
  2. Step 2: Convert to fraction form
    53,050.75/73,214 = 30,396.79/x
  3. Step 3: Cross multiply
    53,050.75x = 73,214 × 30,396.79
  4. Step 4: Simplify right side
    53,050.75x = 2,225,470,583.06
  5. Step 5: Solve for x
    x = 2,225,470,583.06/53,050.75
  6. Step 6: Final answer
    x = 41,949.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.