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Finding the Fourth Proportional to 97,891.20, 146,842.38 and 27,765

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Solution

The fourth proportional to 97,891.20, 146,842.38 and 27,765 is: 41,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,891.20 : 146,842.38 = 27,765 : x
  2. Step 2: Convert to fraction form
    97,891.20/146,842.38 = 27,765/x
  3. Step 3: Cross multiply
    97,891.20x = 146,842.38 × 27,765
  4. Step 4: Simplify right side
    97,891.20x = 4,077,078,680.70
  5. Step 5: Solve for x
    x = 4,077,078,680.70/97,891.20
  6. Step 6: Final answer
    x = 41,649.08

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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.