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Finding the Fourth Proportional to 30,904.38, 42,647.94 and 16,757.19

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Solution

The fourth proportional to 30,904.38, 42,647.94 and 16,757.19 is: 23,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.38 : 42,647.94 = 16,757.19 : x
  2. Step 2: Convert to fraction form
    30,904.38/42,647.94 = 16,757.19/x
  3. Step 3: Cross multiply
    30,904.38x = 42,647.94 × 16,757.19
  4. Step 4: Simplify right side
    30,904.38x = 714,659,633.69
  5. Step 5: Solve for x
    x = 714,659,633.69/30,904.38
  6. Step 6: Final answer
    x = 23,124.87

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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.