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Finding the Fourth Proportional to 30,907.20, 42,651.92 and 16,760

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Solution

The fourth proportional to 30,907.20, 42,651.92 and 16,760 is: 23,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.20 : 42,651.92 = 16,760 : x
  2. Step 2: Convert to fraction form
    30,907.20/42,651.92 = 16,760/x
  3. Step 3: Cross multiply
    30,907.20x = 42,651.92 × 16,760
  4. Step 4: Simplify right side
    30,907.20x = 714,846,179.20
  5. Step 5: Solve for x
    x = 714,846,179.20/30,907.20
  6. Step 6: Final answer
    x = 23,128.79

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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.