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Finding the Fourth Proportional to 30,313.68, 41,832.96 and 16,884.96

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Solution

The fourth proportional to 30,313.68, 41,832.96 and 16,884.96 is: 23,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.68 : 41,832.96 = 16,884.96 : x
  2. Step 2: Convert to fraction form
    30,313.68/41,832.96 = 16,884.96/x
  3. Step 3: Cross multiply
    30,313.68x = 41,832.96 × 16,884.96
  4. Step 4: Simplify right side
    30,313.68x = 706,347,856.28
  5. Step 5: Solve for x
    x = 706,347,856.28/30,313.68
  6. Step 6: Final answer
    x = 23,301.29

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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.