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Finding the Fourth Proportional to 30,315.50, 41,833.22 and 16,702.94

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Solution

The fourth proportional to 30,315.50, 41,833.22 and 16,702.94 is: 23,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315.50 : 41,833.22 = 16,702.94 : x
  2. Step 2: Convert to fraction form
    30,315.50/41,833.22 = 16,702.94/x
  3. Step 3: Cross multiply
    30,315.50x = 41,833.22 × 16,702.94
  4. Step 4: Simplify right side
    30,315.50x = 698,737,470.99
  5. Step 5: Solve for x
    x = 698,737,470.99/30,315.50
  6. Step 6: Final answer
    x = 23,048.86

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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.