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Finding the Fourth Proportional to 30,006.50, 41,408.48 and 16,578.32

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Solution

The fourth proportional to 30,006.50, 41,408.48 and 16,578.32 is: 22,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.50 : 41,408.48 = 16,578.32 : x
  2. Step 2: Convert to fraction form
    30,006.50/41,408.48 = 16,578.32/x
  3. Step 3: Cross multiply
    30,006.50x = 41,408.48 × 16,578.32
  4. Step 4: Simplify right side
    30,006.50x = 686,483,032.15
  5. Step 5: Solve for x
    x = 686,483,032.15/30,006.50
  6. Step 6: Final answer
    x = 22,877.81

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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.