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Finding the Fourth Proportional to 46,447.49, 69,623.49 and 18,356.09

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Solution

The fourth proportional to 46,447.49, 69,623.49 and 18,356.09 is: 27,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,447.49 : 69,623.49 = 18,356.09 : x
  2. Step 2: Convert to fraction form
    46,447.49/69,623.49 = 18,356.09/x
  3. Step 3: Cross multiply
    46,447.49x = 69,623.49 × 18,356.09
  4. Step 4: Simplify right side
    46,447.49x = 1,278,014,700.44
  5. Step 5: Solve for x
    x = 1,278,014,700.44/46,447.49
  6. Step 6: Final answer
    x = 27,515.26

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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.