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Finding the Fourth Proportional to 30,760.47, 42,434.42 and 18,013.91

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Solution

The fourth proportional to 30,760.47, 42,434.42 and 18,013.91 is: 24,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.47 : 42,434.42 = 18,013.91 : x
  2. Step 2: Convert to fraction form
    30,760.47/42,434.42 = 18,013.91/x
  3. Step 3: Cross multiply
    30,760.47x = 42,434.42 × 18,013.91
  4. Step 4: Simplify right side
    30,760.47x = 764,409,520.54
  5. Step 5: Solve for x
    x = 764,409,520.54/30,760.47
  6. Step 6: Final answer
    x = 24,850.38

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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.