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Finding the Fourth Proportional to 33,232.20, 49,805.64 and 14,507.16

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Solution

The fourth proportional to 33,232.20, 49,805.64 and 14,507.16 is: 21,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.20 : 49,805.64 = 14,507.16 : x
  2. Step 2: Convert to fraction form
    33,232.20/49,805.64 = 14,507.16/x
  3. Step 3: Cross multiply
    33,232.20x = 49,805.64 × 14,507.16
  4. Step 4: Simplify right side
    33,232.20x = 722,538,388.38
  5. Step 5: Solve for x
    x = 722,538,388.38/33,232.20
  6. Step 6: Final answer
    x = 21,742.12

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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.