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Finding the Fourth Proportional to 38,923.91, 53,703.88 and 21,922.20

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Solution

The fourth proportional to 38,923.91, 53,703.88 and 21,922.20 is: 30,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923.91 : 53,703.88 = 21,922.20 : x
  2. Step 2: Convert to fraction form
    38,923.91/53,703.88 = 21,922.20/x
  3. Step 3: Cross multiply
    38,923.91x = 53,703.88 × 21,922.20
  4. Step 4: Simplify right side
    38,923.91x = 1,177,307,143.33
  5. Step 5: Solve for x
    x = 1,177,307,143.33/38,923.91
  6. Step 6: Final answer
    x = 30,246.38

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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.