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Finding the Fourth Proportional to 30,890, 42,628.20 and 16,742.80

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Solution

The fourth proportional to 30,890, 42,628.20 and 16,742.80 is: 23,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890 : 42,628.20 = 16,742.80 : x
  2. Step 2: Convert to fraction form
    30,890/42,628.20 = 16,742.80/x
  3. Step 3: Cross multiply
    30,890x = 42,628.20 × 16,742.80
  4. Step 4: Simplify right side
    30,890x = 713,715,426.96
  5. Step 5: Solve for x
    x = 713,715,426.96/30,890
  6. Step 6: Final answer
    x = 23,105.06

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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.