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Finding the Fourth Proportional to 37,658.46, 51,969.20 and 20,662.39

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Solution

The fourth proportional to 37,658.46, 51,969.20 and 20,662.39 is: 28,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.46 : 51,969.20 = 20,662.39 : x
  2. Step 2: Convert to fraction form
    37,658.46/51,969.20 = 20,662.39/x
  3. Step 3: Cross multiply
    37,658.46x = 51,969.20 × 20,662.39
  4. Step 4: Simplify right side
    37,658.46x = 1,073,807,878.39
  5. Step 5: Solve for x
    x = 1,073,807,878.39/37,658.46
  6. Step 6: Final answer
    x = 28,514.39

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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.