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Finding the Fourth Proportional to 38,930.98, 53,721.52 and 21,929.80

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Solution

The fourth proportional to 38,930.98, 53,721.52 and 21,929.80 is: 30,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930.98 : 53,721.52 = 21,929.80 : x
  2. Step 2: Convert to fraction form
    38,930.98/53,721.52 = 21,929.80/x
  3. Step 3: Cross multiply
    38,930.98x = 53,721.52 × 21,929.80
  4. Step 4: Simplify right side
    38,930.98x = 1,178,102,189.30
  5. Step 5: Solve for x
    x = 1,178,102,189.30/38,930.98
  6. Step 6: Final answer
    x = 30,261.30

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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.