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Finding the Fourth Proportional to 30,005.84, 41,410.48 and 16,578.27

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Solution

The fourth proportional to 30,005.84, 41,410.48 and 16,578.27 is: 22,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.84 : 41,410.48 = 16,578.27 : x
  2. Step 2: Convert to fraction form
    30,005.84/41,410.48 = 16,578.27/x
  3. Step 3: Cross multiply
    30,005.84x = 41,410.48 × 16,578.27
  4. Step 4: Simplify right side
    30,005.84x = 686,514,118.27
  5. Step 5: Solve for x
    x = 686,514,118.27/30,005.84
  6. Step 6: Final answer
    x = 22,879.35

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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.