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Finding the Fourth Proportional to 30,006.30, 41,408.79 and 16,578.30

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Solution

The fourth proportional to 30,006.30, 41,408.79 and 16,578.30 is: 22,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.30 : 41,408.79 = 16,578.30 : x
  2. Step 2: Convert to fraction form
    30,006.30/41,408.79 = 16,578.30/x
  3. Step 3: Cross multiply
    30,006.30x = 41,408.79 × 16,578.30
  4. Step 4: Simplify right side
    30,006.30x = 686,487,343.26
  5. Step 5: Solve for x
    x = 686,487,343.26/30,006.30
  6. Step 6: Final answer
    x = 22,878.11

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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.