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Finding the Fourth Proportional to 38,935.80, 53,732.51 and 21,940.20

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Solution

The fourth proportional to 38,935.80, 53,732.51 and 21,940.20 is: 30,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,935.80 : 53,732.51 = 21,940.20 : x
  2. Step 2: Convert to fraction form
    38,935.80/53,732.51 = 21,940.20/x
  3. Step 3: Cross multiply
    38,935.80x = 53,732.51 × 21,940.20
  4. Step 4: Simplify right side
    38,935.80x = 1,178,902,015.90
  5. Step 5: Solve for x
    x = 1,178,902,015.90/38,935.80
  6. Step 6: Final answer
    x = 30,278.10

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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.