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Finding the Fourth Proportional to 86,186.50, 129,287.31 and 23,857.54

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Solution

The fourth proportional to 86,186.50, 129,287.31 and 23,857.54 is: 35,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,186.50 : 129,287.31 = 23,857.54 : x
  2. Step 2: Convert to fraction form
    86,186.50/129,287.31 = 23,857.54/x
  3. Step 3: Cross multiply
    86,186.50x = 129,287.31 × 23,857.54
  4. Step 4: Simplify right side
    86,186.50x = 3,084,477,169.82
  5. Step 5: Solve for x
    x = 3,084,477,169.82/86,186.50
  6. Step 6: Final answer
    x = 35,788.40

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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.