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Finding the Fourth Proportional to 32,876.82, 49,350.33 and 14,166.09

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Solution

The fourth proportional to 32,876.82, 49,350.33 and 14,166.09 is: 21,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.82 : 49,350.33 = 14,166.09 : x
  2. Step 2: Convert to fraction form
    32,876.82/49,350.33 = 14,166.09/x
  3. Step 3: Cross multiply
    32,876.82x = 49,350.33 × 14,166.09
  4. Step 4: Simplify right side
    32,876.82x = 699,101,216.31
  5. Step 5: Solve for x
    x = 699,101,216.31/32,876.82
  6. Step 6: Final answer
    x = 21,264.26

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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.