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Finding the Fourth Proportional to 30,311.76, 41,836.68 and 20,370

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Solution

The fourth proportional to 30,311.76, 41,836.68 and 20,370 is: 28,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.76 : 41,836.68 = 20,370 : x
  2. Step 2: Convert to fraction form
    30,311.76/41,836.68 = 20,370/x
  3. Step 3: Cross multiply
    30,311.76x = 41,836.68 × 20,370
  4. Step 4: Simplify right side
    30,311.76x = 852,213,171.60
  5. Step 5: Solve for x
    x = 852,213,171.60/30,311.76
  6. Step 6: Final answer
    x = 28,114.94

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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.