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Finding the Fourth Proportional to 30,825.40, 46,240.15 and 8,639.65

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Solution

The fourth proportional to 30,825.40, 46,240.15 and 8,639.65 is: 12,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.40 : 46,240.15 = 8,639.65 : x
  2. Step 2: Convert to fraction form
    30,825.40/46,240.15 = 8,639.65/x
  3. Step 3: Cross multiply
    30,825.40x = 46,240.15 × 8,639.65
  4. Step 4: Simplify right side
    30,825.40x = 399,498,711.95
  5. Step 5: Solve for x
    x = 399,498,711.95/30,825.40
  6. Step 6: Final answer
    x = 12,960.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.