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Finding the Fourth Proportional to 38,644.36, 53,329.14 and 21,878.92

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Solution

The fourth proportional to 38,644.36, 53,329.14 and 21,878.92 is: 30,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.36 : 53,329.14 = 21,878.92 : x
  2. Step 2: Convert to fraction form
    38,644.36/53,329.14 = 21,878.92/x
  3. Step 3: Cross multiply
    38,644.36x = 53,329.14 × 21,878.92
  4. Step 4: Simplify right side
    38,644.36x = 1,166,783,987.73
  5. Step 5: Solve for x
    x = 1,166,783,987.73/38,644.36
  6. Step 6: Final answer
    x = 30,192.87

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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.