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Finding the Fourth Proportional to 77,164.54, 115,757.90 and 23,860.68

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Solution

The fourth proportional to 77,164.54, 115,757.90 and 23,860.68 is: 35,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.54 : 115,757.90 = 23,860.68 : x
  2. Step 2: Convert to fraction form
    77,164.54/115,757.90 = 23,860.68/x
  3. Step 3: Cross multiply
    77,164.54x = 115,757.90 × 23,860.68
  4. Step 4: Simplify right side
    77,164.54x = 2,762,062,209.37
  5. Step 5: Solve for x
    x = 2,762,062,209.37/77,164.54
  6. Step 6: Final answer
    x = 35,794.45

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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.