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Finding the Fourth Proportional to 37,188.49, 51,319.84 and 20,192.41

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Solution

The fourth proportional to 37,188.49, 51,319.84 and 20,192.41 is: 27,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188.49 : 51,319.84 = 20,192.41 : x
  2. Step 2: Convert to fraction form
    37,188.49/51,319.84 = 20,192.41/x
  3. Step 3: Cross multiply
    37,188.49x = 51,319.84 × 20,192.41
  4. Step 4: Simplify right side
    37,188.49x = 1,036,271,250.41
  5. Step 5: Solve for x
    x = 1,036,271,250.41/37,188.49
  6. Step 6: Final answer
    x = 27,865.38

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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.