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Finding the Fourth Proportional to 110,725.60, 166,112.70 and 35,849.20

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Solution

The fourth proportional to 110,725.60, 166,112.70 and 35,849.20 is: 53,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,725.60 : 166,112.70 = 35,849.20 : x
  2. Step 2: Convert to fraction form
    110,725.60/166,112.70 = 35,849.20/x
  3. Step 3: Cross multiply
    110,725.60x = 166,112.70 × 35,849.20
  4. Step 4: Simplify right side
    110,725.60x = 5,955,007,404.84
  5. Step 5: Solve for x
    x = 5,955,007,404.84/110,725.60
  6. Step 6: Final answer
    x = 53,781.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.