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Finding the Fourth Proportional to 30,542.43, 42,147.68 and 17,967.87

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Solution

The fourth proportional to 30,542.43, 42,147.68 and 17,967.87 is: 24,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.43 : 42,147.68 = 17,967.87 : x
  2. Step 2: Convert to fraction form
    30,542.43/42,147.68 = 17,967.87/x
  3. Step 3: Cross multiply
    30,542.43x = 42,147.68 × 17,967.87
  4. Step 4: Simplify right side
    30,542.43x = 757,303,945.20
  5. Step 5: Solve for x
    x = 757,303,945.20/30,542.43
  6. Step 6: Final answer
    x = 24,795.14

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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.