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Finding the Fourth Proportional to 30,969.72, 42,736.98 and 16,822.20

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Solution

The fourth proportional to 30,969.72, 42,736.98 and 16,822.20 is: 23,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.72 : 42,736.98 = 16,822.20 : x
  2. Step 2: Convert to fraction form
    30,969.72/42,736.98 = 16,822.20/x
  3. Step 3: Cross multiply
    30,969.72x = 42,736.98 × 16,822.20
  4. Step 4: Simplify right side
    30,969.72x = 718,930,024.96
  5. Step 5: Solve for x
    x = 718,930,024.96/30,969.72
  6. Step 6: Final answer
    x = 23,213.97

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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.