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Finding the Fourth Proportional to 86,830.38, 130,245.66 and 27,666

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Solution

The fourth proportional to 86,830.38, 130,245.66 and 27,666 is: 41,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,830.38 : 130,245.66 = 27,666 : x
  2. Step 2: Convert to fraction form
    86,830.38/130,245.66 = 27,666/x
  3. Step 3: Cross multiply
    86,830.38x = 130,245.66 × 27,666
  4. Step 4: Simplify right side
    86,830.38x = 3,603,376,429.56
  5. Step 5: Solve for x
    x = 3,603,376,429.56/86,830.38
  6. Step 6: Final answer
    x = 41,499.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.