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Finding the Fourth Proportional to 33,187.56, 49,789.32 and 9,495.48

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Solution

The fourth proportional to 33,187.56, 49,789.32 and 9,495.48 is: 14,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.56 : 49,789.32 = 9,495.48 : x
  2. Step 2: Convert to fraction form
    33,187.56/49,789.32 = 9,495.48/x
  3. Step 3: Cross multiply
    33,187.56x = 49,789.32 × 9,495.48
  4. Step 4: Simplify right side
    33,187.56x = 472,773,492.27
  5. Step 5: Solve for x
    x = 472,773,492.27/33,187.56
  6. Step 6: Final answer
    x = 14,245.50

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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.