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Finding the Fourth Proportional to 30,825.90, 46,240.91 and 8,640.15

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Solution

The fourth proportional to 30,825.90, 46,240.91 and 8,640.15 is: 12,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.90 : 46,240.91 = 8,640.15 : x
  2. Step 2: Convert to fraction form
    30,825.90/46,240.91 = 8,640.15/x
  3. Step 3: Cross multiply
    30,825.90x = 46,240.91 × 8,640.15
  4. Step 4: Simplify right side
    30,825.90x = 399,528,355.34
  5. Step 5: Solve for x
    x = 399,528,355.34/30,825.90
  6. Step 6: Final answer
    x = 12,960.80

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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.