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Finding the Fourth Proportional to 30,315.38, 41,833.56 and 16,702.98

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Solution

The fourth proportional to 30,315.38, 41,833.56 and 16,702.98 is: 23,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315.38 : 41,833.56 = 16,702.98 : x
  2. Step 2: Convert to fraction form
    30,315.38/41,833.56 = 16,702.98/x
  3. Step 3: Cross multiply
    30,315.38x = 41,833.56 × 16,702.98
  4. Step 4: Simplify right side
    30,315.38x = 698,745,021.77
  5. Step 5: Solve for x
    x = 698,745,021.77/30,315.38
  6. Step 6: Final answer
    x = 23,049.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.