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Finding the Fourth Proportional to 37,658.50, 51,968.70 and 20,662.84

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Solution

The fourth proportional to 37,658.50, 51,968.70 and 20,662.84 is: 28,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.50 : 51,968.70 = 20,662.84 : x
  2. Step 2: Convert to fraction form
    37,658.50/51,968.70 = 20,662.84/x
  3. Step 3: Cross multiply
    37,658.50x = 51,968.70 × 20,662.84
  4. Step 4: Simplify right side
    37,658.50x = 1,073,820,998.07
  5. Step 5: Solve for x
    x = 1,073,820,998.07/37,658.50
  6. Step 6: Final answer
    x = 28,514.71

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1.5x scale

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.