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Finding the Fourth Proportional to 30,881.49, 42,616.53 and 16,734.33

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Solution

The fourth proportional to 30,881.49, 42,616.53 and 16,734.33 is: 23,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.49 : 42,616.53 = 16,734.33 : x
  2. Step 2: Convert to fraction form
    30,881.49/42,616.53 = 16,734.33/x
  3. Step 3: Cross multiply
    30,881.49x = 42,616.53 × 16,734.33
  4. Step 4: Simplify right side
    30,881.49x = 713,159,076.47
  5. Step 5: Solve for x
    x = 713,159,076.47/30,881.49
  6. Step 6: Final answer
    x = 23,093.42

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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.