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Finding the Fourth Proportional to 30,766.88, 46,233.71 and 16,737.28

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Solution

The fourth proportional to 30,766.88, 46,233.71 and 16,737.28 is: 25,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.88 : 46,233.71 = 16,737.28 : x
  2. Step 2: Convert to fraction form
    30,766.88/46,233.71 = 16,737.28/x
  3. Step 3: Cross multiply
    30,766.88x = 46,233.71 × 16,737.28
  4. Step 4: Simplify right side
    30,766.88x = 773,826,234.85
  5. Step 5: Solve for x
    x = 773,826,234.85/30,766.88
  6. Step 6: Final answer
    x = 25,151.27

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Why These Related Problems?

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