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Finding the Fourth Proportional to 30,412.84, 45,633.70 and 21,067.24

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Solution

The fourth proportional to 30,412.84, 45,633.70 and 21,067.24 is: 31,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.84 : 45,633.70 = 21,067.24 : x
  2. Step 2: Convert to fraction form
    30,412.84/45,633.70 = 21,067.24/x
  3. Step 3: Cross multiply
    30,412.84x = 45,633.70 × 21,067.24
  4. Step 4: Simplify right side
    30,412.84x = 961,376,109.99
  5. Step 5: Solve for x
    x = 961,376,109.99/30,412.84
  6. Step 6: Final answer
    x = 31,610.86

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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.