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Finding the Fourth Proportional to 37,766.78, 52,124.68 and 21,860

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Solution

The fourth proportional to 37,766.78, 52,124.68 and 21,860 is: 30,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.78 : 52,124.68 = 21,860 : x
  2. Step 2: Convert to fraction form
    37,766.78/52,124.68 = 21,860/x
  3. Step 3: Cross multiply
    37,766.78x = 52,124.68 × 21,860
  4. Step 4: Simplify right side
    37,766.78x = 1,139,445,504.80
  5. Step 5: Solve for x
    x = 1,139,445,504.80/37,766.78
  6. Step 6: Final answer
    x = 30,170.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.