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Finding the Fourth Proportional to 30,418.59, 45,631.53 and 11,694.27

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Solution

The fourth proportional to 30,418.59, 45,631.53 and 11,694.27 is: 17,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.59 : 45,631.53 = 11,694.27 : x
  2. Step 2: Convert to fraction form
    30,418.59/45,631.53 = 11,694.27/x
  3. Step 3: Cross multiply
    30,418.59x = 45,631.53 × 11,694.27
  4. Step 4: Simplify right side
    30,418.59x = 533,627,432.33
  5. Step 5: Solve for x
    x = 533,627,432.33/30,418.59
  6. Step 6: Final answer
    x = 17,542.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.