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Finding the Fourth Proportional to 114,009.50, 171,016.68 and 39,129.32

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Solution

The fourth proportional to 114,009.50, 171,016.68 and 39,129.32 is: 58,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009.50 : 171,016.68 = 39,129.32 : x
  2. Step 2: Convert to fraction form
    114,009.50/171,016.68 = 39,129.32/x
  3. Step 3: Cross multiply
    114,009.50x = 171,016.68 × 39,129.32
  4. Step 4: Simplify right side
    114,009.50x = 6,691,766,397.06
  5. Step 5: Solve for x
    x = 6,691,766,397.06/114,009.50
  6. Step 6: Final answer
    x = 58,694.81

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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.