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Finding the Fourth Proportional to 33,146.57, 49,713.36 and 12,365.93

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Solution

The fourth proportional to 33,146.57, 49,713.36 and 12,365.93 is: 18,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.57 : 49,713.36 = 12,365.93 : x
  2. Step 2: Convert to fraction form
    33,146.57/49,713.36 = 12,365.93/x
  3. Step 3: Cross multiply
    33,146.57x = 49,713.36 × 12,365.93
  4. Step 4: Simplify right side
    33,146.57x = 614,751,681.26
  5. Step 5: Solve for x
    x = 614,751,681.26/33,146.57
  6. Step 6: Final answer
    x = 18,546.47

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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.