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Finding the Fourth Proportional to 86,584.98, 129,864.48 and 27,412.98

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Solution

The fourth proportional to 86,584.98, 129,864.48 and 27,412.98 is: 41,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.98 : 129,864.48 = 27,412.98 : x
  2. Step 2: Convert to fraction form
    86,584.98/129,864.48 = 27,412.98/x
  3. Step 3: Cross multiply
    86,584.98x = 129,864.48 × 27,412.98
  4. Step 4: Simplify right side
    86,584.98x = 3,559,972,392.95
  5. Step 5: Solve for x
    x = 3,559,972,392.95/86,584.98
  6. Step 6: Final answer
    x = 41,115.36

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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.