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Finding the Fourth Proportional to 73,202.42, 101,019.27 and 39,668.42

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Solution

The fourth proportional to 73,202.42, 101,019.27 and 39,668.42 is: 54,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,202.42 : 101,019.27 = 39,668.42 : x
  2. Step 2: Convert to fraction form
    73,202.42/101,019.27 = 39,668.42/x
  3. Step 3: Cross multiply
    73,202.42x = 101,019.27 × 39,668.42
  4. Step 4: Simplify right side
    73,202.42x = 4,007,274,830.45
  5. Step 5: Solve for x
    x = 4,007,274,830.45/73,202.42
  6. Step 6: Final answer
    x = 54,742.38

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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.