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Finding the Fourth Proportional to 46,083.56, 69,125.22 and 18,401

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Solution

The fourth proportional to 46,083.56, 69,125.22 and 18,401 is: 27,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,083.56 : 69,125.22 = 18,401 : x
  2. Step 2: Convert to fraction form
    46,083.56/69,125.22 = 18,401/x
  3. Step 3: Cross multiply
    46,083.56x = 69,125.22 × 18,401
  4. Step 4: Simplify right side
    46,083.56x = 1,271,973,173.22
  5. Step 5: Solve for x
    x = 1,271,973,173.22/46,083.56
  6. Step 6: Final answer
    x = 27,601.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.