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Finding the Fourth Proportional to 30,876.80, 42,608.84 and 16,729.34

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Solution

The fourth proportional to 30,876.80, 42,608.84 and 16,729.34 is: 23,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.80 : 42,608.84 = 16,729.34 : x
  2. Step 2: Convert to fraction form
    30,876.80/42,608.84 = 16,729.34/x
  3. Step 3: Cross multiply
    30,876.80x = 42,608.84 × 16,729.34
  4. Step 4: Simplify right side
    30,876.80x = 712,817,474.67
  5. Step 5: Solve for x
    x = 712,817,474.67/30,876.80
  6. Step 6: Final answer
    x = 23,085.86

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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.