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Finding the Fourth Proportional to 30,506.44, 42,096.83 and 16,893.50

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Solution

The fourth proportional to 30,506.44, 42,096.83 and 16,893.50 is: 23,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.44 : 42,096.83 = 16,893.50 : x
  2. Step 2: Convert to fraction form
    30,506.44/42,096.83 = 16,893.50/x
  3. Step 3: Cross multiply
    30,506.44x = 42,096.83 × 16,893.50
  4. Step 4: Simplify right side
    30,506.44x = 711,162,818.38
  5. Step 5: Solve for x
    x = 711,162,818.38/30,506.44
  6. Step 6: Final answer
    x = 23,311.89

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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.