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Finding the Fourth Proportional to 33,549.84, 50,326.29 and 23,733

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Solution

The fourth proportional to 33,549.84, 50,326.29 and 23,733 is: 35,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.84 : 50,326.29 = 23,733 : x
  2. Step 2: Convert to fraction form
    33,549.84/50,326.29 = 23,733/x
  3. Step 3: Cross multiply
    33,549.84x = 50,326.29 × 23,733
  4. Step 4: Simplify right side
    33,549.84x = 1,194,393,840.57
  5. Step 5: Solve for x
    x = 1,194,393,840.57/33,549.84
  6. Step 6: Final answer
    x = 35,600.58

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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.