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Finding the Fourth Proportional to 30,986.28, 42,760.71 and 16,838.82

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Solution

The fourth proportional to 30,986.28, 42,760.71 and 16,838.82 is: 23,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.28 : 42,760.71 = 16,838.82 : x
  2. Step 2: Convert to fraction form
    30,986.28/42,760.71 = 16,838.82/x
  3. Step 3: Cross multiply
    30,986.28x = 42,760.71 × 16,838.82
  4. Step 4: Simplify right side
    30,986.28x = 720,039,898.76
  5. Step 5: Solve for x
    x = 720,039,898.76/30,986.28
  6. Step 6: Final answer
    x = 23,237.38

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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.