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Finding the Fourth Proportional to 39,798, 54,921.24 and 23,031

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Solution

The fourth proportional to 39,798, 54,921.24 and 23,031 is: 31,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 54,921.24 = 23,031 : x
  2. Step 2: Convert to fraction form
    39,798/54,921.24 = 23,031/x
  3. Step 3: Cross multiply
    39,798x = 54,921.24 × 23,031
  4. Step 4: Simplify right side
    39,798x = 1,264,891,078.44
  5. Step 5: Solve for x
    x = 1,264,891,078.44/39,798
  6. Step 6: Final answer
    x = 31,782.78

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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.