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Finding the Fourth Proportional to 33,053.63, 49,580.44 and 8,429.63

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Solution

The fourth proportional to 33,053.63, 49,580.44 and 8,429.63 is: 12,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.63 : 49,580.44 = 8,429.63 : x
  2. Step 2: Convert to fraction form
    33,053.63/49,580.44 = 8,429.63/x
  3. Step 3: Cross multiply
    33,053.63x = 49,580.44 × 8,429.63
  4. Step 4: Simplify right side
    33,053.63x = 417,944,495.46
  5. Step 5: Solve for x
    x = 417,944,495.46/33,053.63
  6. Step 6: Final answer
    x = 12,644.44

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