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Finding the Fourth Proportional to 70,742.33, 97,764.44 and 57,975.38

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Solution

The fourth proportional to 70,742.33, 97,764.44 and 57,975.38 is: 80,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742.33 : 97,764.44 = 57,975.38 : x
  2. Step 2: Convert to fraction form
    70,742.33/97,764.44 = 57,975.38/x
  3. Step 3: Cross multiply
    70,742.33x = 97,764.44 × 57,975.38
  4. Step 4: Simplify right side
    70,742.33x = 5,667,930,147.40
  5. Step 5: Solve for x
    x = 5,667,930,147.40/70,742.33
  6. Step 6: Final answer
    x = 80,120.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.