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Finding the Fourth Proportional to 15,993.05, 23,993.01 and 4,900.50

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Solution

The fourth proportional to 15,993.05, 23,993.01 and 4,900.50 is: 7,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.05 : 23,993.01 = 4,900.50 : x
  2. Step 2: Convert to fraction form
    15,993.05/23,993.01 = 4,900.50/x
  3. Step 3: Cross multiply
    15,993.05x = 23,993.01 × 4,900.50
  4. Step 4: Simplify right side
    15,993.05x = 117,577,745.51
  5. Step 5: Solve for x
    x = 117,577,745.51/15,993.05
  6. Step 6: Final answer
    x = 7,351.80

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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.