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Finding the Fourth Proportional to 33,119.28, 49,678.62 and 13,397.52

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Solution

The fourth proportional to 33,119.28, 49,678.62 and 13,397.52 is: 20,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.28 : 49,678.62 = 13,397.52 : x
  2. Step 2: Convert to fraction form
    33,119.28/49,678.62 = 13,397.52/x
  3. Step 3: Cross multiply
    33,119.28x = 49,678.62 × 13,397.52
  4. Step 4: Simplify right side
    33,119.28x = 665,570,305.02
  5. Step 5: Solve for x
    x = 665,570,305.02/33,119.28
  6. Step 6: Final answer
    x = 20,096.16

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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.