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Finding the Fourth Proportional to 30,876.49, 42,608.99 and 17,447.46

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Solution

The fourth proportional to 30,876.49, 42,608.99 and 17,447.46 is: 24,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.49 : 42,608.99 = 17,447.46 : x
  2. Step 2: Convert to fraction form
    30,876.49/42,608.99 = 17,447.46/x
  3. Step 3: Cross multiply
    30,876.49x = 42,608.99 × 17,447.46
  4. Step 4: Simplify right side
    30,876.49x = 743,418,532.50
  5. Step 5: Solve for x
    x = 743,418,532.50/30,876.49
  6. Step 6: Final answer
    x = 24,077.17

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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.