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Finding the Fourth Proportional to 86,893.65, 130,342.74 and 27,729.24

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Solution

The fourth proportional to 86,893.65, 130,342.74 and 27,729.24 is: 41,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,893.65 : 130,342.74 = 27,729.24 : x
  2. Step 2: Convert to fraction form
    86,893.65/130,342.74 = 27,729.24/x
  3. Step 3: Cross multiply
    86,893.65x = 130,342.74 × 27,729.24
  4. Step 4: Simplify right side
    86,893.65x = 3,614,305,119.72
  5. Step 5: Solve for x
    x = 3,614,305,119.72/86,893.65
  6. Step 6: Final answer
    x = 41,594.58

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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.