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Finding the Fourth Proportional to 38,133.62, 57,200.14 and 11,479.50

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Solution

The fourth proportional to 38,133.62, 57,200.14 and 11,479.50 is: 17,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,133.62 : 57,200.14 = 11,479.50 : x
  2. Step 2: Convert to fraction form
    38,133.62/57,200.14 = 11,479.50/x
  3. Step 3: Cross multiply
    38,133.62x = 57,200.14 × 11,479.50
  4. Step 4: Simplify right side
    38,133.62x = 656,629,007.13
  5. Step 5: Solve for x
    x = 656,629,007.13/38,133.62
  6. Step 6: Final answer
    x = 17,219.16

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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.