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Finding the Fourth Proportional to 30,468.91, 45,672.24 and 11,741.61

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Solution

The fourth proportional to 30,468.91, 45,672.24 and 11,741.61 is: 17,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.91 : 45,672.24 = 11,741.61 : x
  2. Step 2: Convert to fraction form
    30,468.91/45,672.24 = 11,741.61/x
  3. Step 3: Cross multiply
    30,468.91x = 45,672.24 × 11,741.61
  4. Step 4: Simplify right side
    30,468.91x = 536,265,629.91
  5. Step 5: Solve for x
    x = 536,265,629.91/30,468.91
  6. Step 6: Final answer
    x = 17,600.42

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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.