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Finding the Fourth Proportional to 30,830.40, 42,546.03 and 16,683.27

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Solution

The fourth proportional to 30,830.40, 42,546.03 and 16,683.27 is: 23,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.40 : 42,546.03 = 16,683.27 : x
  2. Step 2: Convert to fraction form
    30,830.40/42,546.03 = 16,683.27/x
  3. Step 3: Cross multiply
    30,830.40x = 42,546.03 × 16,683.27
  4. Step 4: Simplify right side
    30,830.40x = 709,806,905.92
  5. Step 5: Solve for x
    x = 709,806,905.92/30,830.40
  6. Step 6: Final answer
    x = 23,022.95

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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.