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Finding the Fourth Proportional to 33,238.47, 49,867.11 and 13,531.17

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Solution

The fourth proportional to 33,238.47, 49,867.11 and 13,531.17 is: 20,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.47 : 49,867.11 = 13,531.17 : x
  2. Step 2: Convert to fraction form
    33,238.47/49,867.11 = 13,531.17/x
  3. Step 3: Cross multiply
    33,238.47x = 49,867.11 × 13,531.17
  4. Step 4: Simplify right side
    33,238.47x = 674,760,342.82
  5. Step 5: Solve for x
    x = 674,760,342.82/33,238.47
  6. Step 6: Final answer
    x = 20,300.58

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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.