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Finding the Fourth Proportional to 38,844.50, 53,607.02 and 21,849.54

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Solution

The fourth proportional to 38,844.50, 53,607.02 and 21,849.54 is: 30,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844.50 : 53,607.02 = 21,849.54 : x
  2. Step 2: Convert to fraction form
    38,844.50/53,607.02 = 21,849.54/x
  3. Step 3: Cross multiply
    38,844.50x = 53,607.02 × 21,849.54
  4. Step 4: Simplify right side
    38,844.50x = 1,171,288,618.52
  5. Step 5: Solve for x
    x = 1,171,288,618.52/38,844.50
  6. Step 6: Final answer
    x = 30,153.27

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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.