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Finding the Fourth Proportional to 30,324.85, 41,847.39 and 16,895.28

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Solution

The fourth proportional to 30,324.85, 41,847.39 and 16,895.28 is: 23,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.85 : 41,847.39 = 16,895.28 : x
  2. Step 2: Convert to fraction form
    30,324.85/41,847.39 = 16,895.28/x
  3. Step 3: Cross multiply
    30,324.85x = 41,847.39 × 16,895.28
  4. Step 4: Simplify right side
    30,324.85x = 707,023,371.32
  5. Step 5: Solve for x
    x = 707,023,371.32/30,324.85
  6. Step 6: Final answer
    x = 23,314.98

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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.