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Finding the Fourth Proportional to 30,713.34, 46,014.12 and 21,333.54

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Solution

The fourth proportional to 30,713.34, 46,014.12 and 21,333.54 is: 31,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.34 : 46,014.12 = 21,333.54 : x
  2. Step 2: Convert to fraction form
    30,713.34/46,014.12 = 21,333.54/x
  3. Step 3: Cross multiply
    30,713.34x = 46,014.12 × 21,333.54
  4. Step 4: Simplify right side
    30,713.34x = 981,644,069.58
  5. Step 5: Solve for x
    x = 981,644,069.58/30,713.34
  6. Step 6: Final answer
    x = 31,961.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.