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Finding the Fourth Proportional to 30,890.75, 42,629.89 and 17,461.20

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Solution

The fourth proportional to 30,890.75, 42,629.89 and 17,461.20 is: 24,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.75 : 42,629.89 = 17,461.20 : x
  2. Step 2: Convert to fraction form
    30,890.75/42,629.89 = 17,461.20/x
  3. Step 3: Cross multiply
    30,890.75x = 42,629.89 × 17,461.20
  4. Step 4: Simplify right side
    30,890.75x = 744,369,035.27
  5. Step 5: Solve for x
    x = 744,369,035.27/30,890.75
  6. Step 6: Final answer
    x = 24,096.83

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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.