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Finding the Fourth Proportional to 30,578.30, 42,200.08 and 17,150.42

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Solution

The fourth proportional to 30,578.30, 42,200.08 and 17,150.42 is: 23,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.30 : 42,200.08 = 17,150.42 : x
  2. Step 2: Convert to fraction form
    30,578.30/42,200.08 = 17,150.42/x
  3. Step 3: Cross multiply
    30,578.30x = 42,200.08 × 17,150.42
  4. Step 4: Simplify right side
    30,578.30x = 723,749,096.03
  5. Step 5: Solve for x
    x = 723,749,096.03/30,578.30
  6. Step 6: Final answer
    x = 23,668.72

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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.