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Finding the Fourth Proportional to 30,007, 41,409.17 and 16,578.82

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Solution

The fourth proportional to 30,007, 41,409.17 and 16,578.82 is: 22,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007 : 41,409.17 = 16,578.82 : x
  2. Step 2: Convert to fraction form
    30,007/41,409.17 = 16,578.82/x
  3. Step 3: Cross multiply
    30,007x = 41,409.17 × 16,578.82
  4. Step 4: Simplify right side
    30,007x = 686,515,175.78
  5. Step 5: Solve for x
    x = 686,515,175.78/30,007
  6. Step 6: Final answer
    x = 22,878.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.