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Finding the Fourth Proportional to 86,686.50, 130,033.44 and 27,520.86

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Solution

The fourth proportional to 86,686.50, 130,033.44 and 27,520.86 is: 41,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686.50 : 130,033.44 = 27,520.86 : x
  2. Step 2: Convert to fraction form
    86,686.50/130,033.44 = 27,520.86/x
  3. Step 3: Cross multiply
    86,686.50x = 130,033.44 × 27,520.86
  4. Step 4: Simplify right side
    86,686.50x = 3,578,632,097.56
  5. Step 5: Solve for x
    x = 3,578,632,097.56/86,686.50
  6. Step 6: Final answer
    x = 41,282.46

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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.