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Finding the Fourth Proportional to 40,891.48, 61,343.70 and 13,183

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Solution

The fourth proportional to 40,891.48, 61,343.70 and 13,183 is: 19,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891.48 : 61,343.70 = 13,183 : x
  2. Step 2: Convert to fraction form
    40,891.48/61,343.70 = 13,183/x
  3. Step 3: Cross multiply
    40,891.48x = 61,343.70 × 13,183
  4. Step 4: Simplify right side
    40,891.48x = 808,693,997.10
  5. Step 5: Solve for x
    x = 808,693,997.10/40,891.48
  6. Step 6: Final answer
    x = 19,776.59

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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.