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Finding the Fourth Proportional to 86,770.30, 130,167.60 and 27,599.80

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Solution

The fourth proportional to 86,770.30, 130,167.60 and 27,599.80 is: 41,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770.30 : 130,167.60 = 27,599.80 : x
  2. Step 2: Convert to fraction form
    86,770.30/130,167.60 = 27,599.80/x
  3. Step 3: Cross multiply
    86,770.30x = 130,167.60 × 27,599.80
  4. Step 4: Simplify right side
    86,770.30x = 3,592,599,726.48
  5. Step 5: Solve for x
    x = 3,592,599,726.48/86,770.30
  6. Step 6: Final answer
    x = 41,403.56

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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.