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Finding the Fourth Proportional to 62,431.38, 86,130.78 and 39,764.34

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Solution

The fourth proportional to 62,431.38, 86,130.78 and 39,764.34 is: 54,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,431.38 : 86,130.78 = 39,764.34 : x
  2. Step 2: Convert to fraction form
    62,431.38/86,130.78 = 39,764.34/x
  3. Step 3: Cross multiply
    62,431.38x = 86,130.78 × 39,764.34
  4. Step 4: Simplify right side
    62,431.38x = 3,424,933,620.39
  5. Step 5: Solve for x
    x = 3,424,933,620.39/62,431.38
  6. Step 6: Final answer
    x = 54,859.17

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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.