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Finding the Fourth Proportional to 86,894.34, 130,351.77 and 27,709.26

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Solution

The fourth proportional to 86,894.34, 130,351.77 and 27,709.26 is: 41,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894.34 : 130,351.77 = 27,709.26 : x
  2. Step 2: Convert to fraction form
    86,894.34/130,351.77 = 27,709.26/x
  3. Step 3: Cross multiply
    86,894.34x = 130,351.77 × 27,709.26
  4. Step 4: Simplify right side
    86,894.34x = 3,611,951,086.39
  5. Step 5: Solve for x
    x = 3,611,951,086.39/86,894.34
  6. Step 6: Final answer
    x = 41,567.16

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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.