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Finding the Fourth Proportional to 37,650.94, 51,952.38 and 21,732.42

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Solution

The fourth proportional to 37,650.94, 51,952.38 and 21,732.42 is: 29,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,650.94 : 51,952.38 = 21,732.42 : x
  2. Step 2: Convert to fraction form
    37,650.94/51,952.38 = 21,732.42/x
  3. Step 3: Cross multiply
    37,650.94x = 51,952.38 × 21,732.42
  4. Step 4: Simplify right side
    37,650.94x = 1,129,050,942.16
  5. Step 5: Solve for x
    x = 1,129,050,942.16/37,650.94
  6. Step 6: Final answer
    x = 29,987.32

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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.