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Finding the Fourth Proportional to 86,188.50, 129,290.31 and 23,859.54

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Solution

The fourth proportional to 86,188.50, 129,290.31 and 23,859.54 is: 35,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,188.50 : 129,290.31 = 23,859.54 : x
  2. Step 2: Convert to fraction form
    86,188.50/129,290.31 = 23,859.54/x
  3. Step 3: Cross multiply
    86,188.50x = 129,290.31 × 23,859.54
  4. Step 4: Simplify right side
    86,188.50x = 3,084,807,323.06
  5. Step 5: Solve for x
    x = 3,084,807,323.06/86,188.50
  6. Step 6: Final answer
    x = 35,791.40

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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.