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Finding the Fourth Proportional to 37,034, 51,106.92 and 20,267

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Solution

The fourth proportional to 37,034, 51,106.92 and 20,267 is: 27,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034 : 51,106.92 = 20,267 : x
  2. Step 2: Convert to fraction form
    37,034/51,106.92 = 20,267/x
  3. Step 3: Cross multiply
    37,034x = 51,106.92 × 20,267
  4. Step 4: Simplify right side
    37,034x = 1,035,783,947.64
  5. Step 5: Solve for x
    x = 1,035,783,947.64/37,034
  6. Step 6: Final answer
    x = 27,968.46

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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.