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Finding the Fourth Proportional to 30,990.50, 46,654.38 and 28,234.88

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Solution

The fourth proportional to 30,990.50, 46,654.38 and 28,234.88 is: 42,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.50 : 46,654.38 = 28,234.88 : x
  2. Step 2: Convert to fraction form
    30,990.50/46,654.38 = 28,234.88/x
  3. Step 3: Cross multiply
    30,990.50x = 46,654.38 × 28,234.88
  4. Step 4: Simplify right side
    30,990.50x = 1,317,280,820.77
  5. Step 5: Solve for x
    x = 1,317,280,820.77/30,990.50
  6. Step 6: Final answer
    x = 42,505.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.