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Finding the Fourth Proportional to 47,414.53, 71,124.53 and 17,832.62

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Solution

The fourth proportional to 47,414.53, 71,124.53 and 17,832.62 is: 26,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.53 : 71,124.53 = 17,832.62 : x
  2. Step 2: Convert to fraction form
    47,414.53/71,124.53 = 17,832.62/x
  3. Step 3: Cross multiply
    47,414.53x = 71,124.53 × 17,832.62
  4. Step 4: Simplify right side
    47,414.53x = 1,268,336,716.17
  5. Step 5: Solve for x
    x = 1,268,336,716.17/47,414.53
  6. Step 6: Final answer
    x = 26,749.96

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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.