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Finding the Fourth Proportional to 33,046.74, 49,529.50 and 13,036.14

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Solution

The fourth proportional to 33,046.74, 49,529.50 and 13,036.14 is: 19,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.74 : 49,529.50 = 13,036.14 : x
  2. Step 2: Convert to fraction form
    33,046.74/49,529.50 = 13,036.14/x
  3. Step 3: Cross multiply
    33,046.74x = 49,529.50 × 13,036.14
  4. Step 4: Simplify right side
    33,046.74x = 645,673,496.13
  5. Step 5: Solve for x
    x = 645,673,496.13/33,046.74
  6. Step 6: Final answer
    x = 19,538.19

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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.