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Finding the Fourth Proportional to 38,673.75, 53,369.78 and 21,906.75

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Solution

The fourth proportional to 38,673.75, 53,369.78 and 21,906.75 is: 30,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,673.75 : 53,369.78 = 21,906.75 : x
  2. Step 2: Convert to fraction form
    38,673.75/53,369.78 = 21,906.75/x
  3. Step 3: Cross multiply
    38,673.75x = 53,369.78 × 21,906.75
  4. Step 4: Simplify right side
    38,673.75x = 1,169,158,428.02
  5. Step 5: Solve for x
    x = 1,169,158,428.02/38,673.75
  6. Step 6: Final answer
    x = 30,231.32

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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.