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Finding the Fourth Proportional to 37,892.94, 56,766.78 and 21,202.50

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Solution

The fourth proportional to 37,892.94, 56,766.78 and 21,202.50 is: 31,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892.94 : 56,766.78 = 21,202.50 : x
  2. Step 2: Convert to fraction form
    37,892.94/56,766.78 = 21,202.50/x
  3. Step 3: Cross multiply
    37,892.94x = 56,766.78 × 21,202.50
  4. Step 4: Simplify right side
    37,892.94x = 1,203,597,652.95
  5. Step 5: Solve for x
    x = 1,203,597,652.95/37,892.94
  6. Step 6: Final answer
    x = 31,763.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.