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Finding the Fourth Proportional to 86,189.24, 129,283.85 and 27,029.67

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Solution

The fourth proportional to 86,189.24, 129,283.85 and 27,029.67 is: 40,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189.24 : 129,283.85 = 27,029.67 : x
  2. Step 2: Convert to fraction form
    86,189.24/129,283.85 = 27,029.67/x
  3. Step 3: Cross multiply
    86,189.24x = 129,283.85 × 27,029.67
  4. Step 4: Simplify right side
    86,189.24x = 3,494,499,666.68
  5. Step 5: Solve for x
    x = 3,494,499,666.68/86,189.24
  6. Step 6: Final answer
    x = 40,544.50

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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.