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Finding the Fourth Proportional to 37,694.21, 52,014.15 and 21,783.78

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Solution

The fourth proportional to 37,694.21, 52,014.15 and 21,783.78 is: 30,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,694.21 : 52,014.15 = 21,783.78 : x
  2. Step 2: Convert to fraction form
    37,694.21/52,014.15 = 21,783.78/x
  3. Step 3: Cross multiply
    37,694.21x = 52,014.15 × 21,783.78
  4. Step 4: Simplify right side
    37,694.21x = 1,133,064,800.49
  5. Step 5: Solve for x
    x = 1,133,064,800.49/37,694.21
  6. Step 6: Final answer
    x = 30,059.39

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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.