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Finding the Fourth Proportional to 54,000, 81,004.23 and 14,556.51

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Solution

The fourth proportional to 54,000, 81,004.23 and 14,556.51 is: 21,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 81,004.23 = 14,556.51 : x
  2. Step 2: Convert to fraction form
    54,000/81,004.23 = 14,556.51/x
  3. Step 3: Cross multiply
    54,000x = 81,004.23 × 14,556.51
  4. Step 4: Simplify right side
    54,000x = 1,179,138,884.04
  5. Step 5: Solve for x
    x = 1,179,138,884.04/54,000
  6. Step 6: Final answer
    x = 21,835.91

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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.