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Finding the Fourth Proportional to 30,382.57, 41,928.83 and 16,953.54

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Solution

The fourth proportional to 30,382.57, 41,928.83 and 16,953.54 is: 23,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.57 : 41,928.83 = 16,953.54 : x
  2. Step 2: Convert to fraction form
    30,382.57/41,928.83 = 16,953.54/x
  3. Step 3: Cross multiply
    30,382.57x = 41,928.83 × 16,953.54
  4. Step 4: Simplify right side
    30,382.57x = 710,842,096.56
  5. Step 5: Solve for x
    x = 710,842,096.56/30,382.57
  6. Step 6: Final answer
    x = 23,396.38

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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.