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Finding the Fourth Proportional to 33,009.81, 49,514.72 and 13,291.17

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Solution

The fourth proportional to 33,009.81, 49,514.72 and 13,291.17 is: 19,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.81 : 49,514.72 = 13,291.17 : x
  2. Step 2: Convert to fraction form
    33,009.81/49,514.72 = 13,291.17/x
  3. Step 3: Cross multiply
    33,009.81x = 49,514.72 × 13,291.17
  4. Step 4: Simplify right side
    33,009.81x = 658,108,561.02
  5. Step 5: Solve for x
    x = 658,108,561.02/33,009.81
  6. Step 6: Final answer
    x = 19,936.76

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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.