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Finding the Fourth Proportional to 30,383.28, 41,910.84 and 22,446

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Solution

The fourth proportional to 30,383.28, 41,910.84 and 22,446 is: 30,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.28 : 41,910.84 = 22,446 : x
  2. Step 2: Convert to fraction form
    30,383.28/41,910.84 = 22,446/x
  3. Step 3: Cross multiply
    30,383.28x = 41,910.84 × 22,446
  4. Step 4: Simplify right side
    30,383.28x = 940,730,714.64
  5. Step 5: Solve for x
    x = 940,730,714.64/30,383.28
  6. Step 6: Final answer
    x = 30,962.12

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