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Finding the Fourth Proportional to 37,541, 51,808.20 and 20,774

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Solution

The fourth proportional to 37,541, 51,808.20 and 20,774 is: 28,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,541 : 51,808.20 = 20,774 : x
  2. Step 2: Convert to fraction form
    37,541/51,808.20 = 20,774/x
  3. Step 3: Cross multiply
    37,541x = 51,808.20 × 20,774
  4. Step 4: Simplify right side
    37,541x = 1,076,263,546.80
  5. Step 5: Solve for x
    x = 1,076,263,546.80/37,541
  6. Step 6: Final answer
    x = 28,669.02

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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.