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Finding the Fourth Proportional to 30,054.38, 41,461.08 and 19,447.44

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Solution

The fourth proportional to 30,054.38, 41,461.08 and 19,447.44 is: 26,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.38 : 41,461.08 = 19,447.44 : x
  2. Step 2: Convert to fraction form
    30,054.38/41,461.08 = 19,447.44/x
  3. Step 3: Cross multiply
    30,054.38x = 41,461.08 × 19,447.44
  4. Step 4: Simplify right side
    30,054.38x = 806,311,865.64
  5. Step 5: Solve for x
    x = 806,311,865.64/30,054.38
  6. Step 6: Final answer
    x = 26,828.43

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Why These Related Problems?

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