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Finding the Fourth Proportional to 33,535.76, 50,308.47 and 10,164.02

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Solution

The fourth proportional to 33,535.76, 50,308.47 and 10,164.02 is: 15,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535.76 : 50,308.47 = 10,164.02 : x
  2. Step 2: Convert to fraction form
    33,535.76/50,308.47 = 10,164.02/x
  3. Step 3: Cross multiply
    33,535.76x = 50,308.47 × 10,164.02
  4. Step 4: Simplify right side
    33,535.76x = 511,336,295.25
  5. Step 5: Solve for x
    x = 511,336,295.25/33,535.76
  6. Step 6: Final answer
    x = 15,247.49

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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.