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Finding the Fourth Proportional to 31,099.10, 42,916.65 and 16,951.95

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Solution

The fourth proportional to 31,099.10, 42,916.65 and 16,951.95 is: 23,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.10 : 42,916.65 = 16,951.95 : x
  2. Step 2: Convert to fraction form
    31,099.10/42,916.65 = 16,951.95/x
  3. Step 3: Cross multiply
    31,099.10x = 42,916.65 × 16,951.95
  4. Step 4: Simplify right side
    31,099.10x = 727,520,690.38
  5. Step 5: Solve for x
    x = 727,520,690.38/31,099.10
  6. Step 6: Final answer
    x = 23,393.63

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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.