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Finding the Fourth Proportional to 37,524.50, 51,784.78 and 22,621.46

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Solution

The fourth proportional to 37,524.50, 51,784.78 and 22,621.46 is: 31,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,524.50 : 51,784.78 = 22,621.46 : x
  2. Step 2: Convert to fraction form
    37,524.50/51,784.78 = 22,621.46/x
  3. Step 3: Cross multiply
    37,524.50x = 51,784.78 × 22,621.46
  4. Step 4: Simplify right side
    37,524.50x = 1,171,447,329.38
  5. Step 5: Solve for x
    x = 1,171,447,329.38/37,524.50
  6. Step 6: Final answer
    x = 31,218.20

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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.