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Finding the Fourth Proportional to 30,761.31, 42,450.63 and 16,614.15

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Solution

The fourth proportional to 30,761.31, 42,450.63 and 16,614.15 is: 22,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.31 : 42,450.63 = 16,614.15 : x
  2. Step 2: Convert to fraction form
    30,761.31/42,450.63 = 16,614.15/x
  3. Step 3: Cross multiply
    30,761.31x = 42,450.63 × 16,614.15
  4. Step 4: Simplify right side
    30,761.31x = 705,281,134.41
  5. Step 5: Solve for x
    x = 705,281,134.41/30,761.31
  6. Step 6: Final answer
    x = 22,927.54

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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.