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Finding the Fourth Proportional to 30,650.22, 45,932.81 and 13,969.49

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Solution

The fourth proportional to 30,650.22, 45,932.81 and 13,969.49 is: 20,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.22 : 45,932.81 = 13,969.49 : x
  2. Step 2: Convert to fraction form
    30,650.22/45,932.81 = 13,969.49/x
  3. Step 3: Cross multiply
    30,650.22x = 45,932.81 × 13,969.49
  4. Step 4: Simplify right side
    30,650.22x = 641,657,630.46
  5. Step 5: Solve for x
    x = 641,657,630.46/30,650.22
  6. Step 6: Final answer
    x = 20,934.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.