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Finding the Fourth Proportional to 37,134, 51,244.92 and 20,367

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Solution

The fourth proportional to 37,134, 51,244.92 and 20,367 is: 28,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134 : 51,244.92 = 20,367 : x
  2. Step 2: Convert to fraction form
    37,134/51,244.92 = 20,367/x
  3. Step 3: Cross multiply
    37,134x = 51,244.92 × 20,367
  4. Step 4: Simplify right side
    37,134x = 1,043,705,285.64
  5. Step 5: Solve for x
    x = 1,043,705,285.64/37,134
  6. Step 6: Final answer
    x = 28,106.46

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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.