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Finding the Fourth Proportional to 30,896.38, 42,636.90 and 16,749.19

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Solution

The fourth proportional to 30,896.38, 42,636.90 and 16,749.19 is: 23,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.38 : 42,636.90 = 16,749.19 : x
  2. Step 2: Convert to fraction form
    30,896.38/42,636.90 = 16,749.19/x
  3. Step 3: Cross multiply
    30,896.38x = 42,636.90 × 16,749.19
  4. Step 4: Simplify right side
    30,896.38x = 714,133,539.11
  5. Step 5: Solve for x
    x = 714,133,539.11/30,896.38
  6. Step 6: Final answer
    x = 23,113.83

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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.