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Finding the Fourth Proportional to 37,446.52, 51,676.22 and 20,451

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Solution

The fourth proportional to 37,446.52, 51,676.22 and 20,451 is: 28,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,446.52 : 51,676.22 = 20,451 : x
  2. Step 2: Convert to fraction form
    37,446.52/51,676.22 = 20,451/x
  3. Step 3: Cross multiply
    37,446.52x = 51,676.22 × 20,451
  4. Step 4: Simplify right side
    37,446.52x = 1,056,830,375.22
  5. Step 5: Solve for x
    x = 1,056,830,375.22/37,446.52
  6. Step 6: Final answer
    x = 28,222.39

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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.