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Finding the Fourth Proportional to 46,399.80, 69,593.22 and 15,231

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Solution

The fourth proportional to 46,399.80, 69,593.22 and 15,231 is: 22,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,399.80 : 69,593.22 = 15,231 : x
  2. Step 2: Convert to fraction form
    46,399.80/69,593.22 = 15,231/x
  3. Step 3: Cross multiply
    46,399.80x = 69,593.22 × 15,231
  4. Step 4: Simplify right side
    46,399.80x = 1,059,974,333.82
  5. Step 5: Solve for x
    x = 1,059,974,333.82/46,399.80
  6. Step 6: Final answer
    x = 22,844.37

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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.