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Finding the Fourth Proportional to 54,094, 81,141 and 19,029.64

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Solution

The fourth proportional to 54,094, 81,141 and 19,029.64 is: 28,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,094 : 81,141 = 19,029.64 : x
  2. Step 2: Convert to fraction form
    54,094/81,141 = 19,029.64/x
  3. Step 3: Cross multiply
    54,094x = 81,141 × 19,029.64
  4. Step 4: Simplify right side
    54,094x = 1,544,084,019.24
  5. Step 5: Solve for x
    x = 1,544,084,019.24/54,094
  6. Step 6: Final answer
    x = 28,544.46

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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.