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Finding the Fourth Proportional to 86,584.90, 129,881.40 and 27,425.20

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Solution

The fourth proportional to 86,584.90, 129,881.40 and 27,425.20 is: 41,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.90 : 129,881.40 = 27,425.20 : x
  2. Step 2: Convert to fraction form
    86,584.90/129,881.40 = 27,425.20/x
  3. Step 3: Cross multiply
    86,584.90x = 129,881.40 × 27,425.20
  4. Step 4: Simplify right side
    86,584.90x = 3,562,023,371.28
  5. Step 5: Solve for x
    x = 3,562,023,371.28/86,584.90
  6. Step 6: Final answer
    x = 41,139.08

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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.