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Finding the Fourth Proportional to 114,577.38, 171,843.21 and 38,668.50

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Solution

The fourth proportional to 114,577.38, 171,843.21 and 38,668.50 is: 57,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,577.38 : 171,843.21 = 38,668.50 : x
  2. Step 2: Convert to fraction form
    114,577.38/171,843.21 = 38,668.50/x
  3. Step 3: Cross multiply
    114,577.38x = 171,843.21 × 38,668.50
  4. Step 4: Simplify right side
    114,577.38x = 6,644,919,165.89
  5. Step 5: Solve for x
    x = 6,644,919,165.89/114,577.38
  6. Step 6: Final answer
    x = 57,995.04

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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.