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Finding the Fourth Proportional to 30,313.54, 41,832.58 and 16,884

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Solution

The fourth proportional to 30,313.54, 41,832.58 and 16,884 is: 23,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.54 : 41,832.58 = 16,884 : x
  2. Step 2: Convert to fraction form
    30,313.54/41,832.58 = 16,884/x
  3. Step 3: Cross multiply
    30,313.54x = 41,832.58 × 16,884
  4. Step 4: Simplify right side
    30,313.54x = 706,301,280.72
  5. Step 5: Solve for x
    x = 706,301,280.72/30,313.54
  6. Step 6: Final answer
    x = 23,299.86

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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.