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Finding the Fourth Proportional to 36,142.93, 49,876.80 and 20,227.51

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Solution

The fourth proportional to 36,142.93, 49,876.80 and 20,227.51 is: 27,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.93 : 49,876.80 = 20,227.51 : x
  2. Step 2: Convert to fraction form
    36,142.93/49,876.80 = 20,227.51/x
  3. Step 3: Cross multiply
    36,142.93x = 49,876.80 × 20,227.51
  4. Step 4: Simplify right side
    36,142.93x = 1,008,883,457.26
  5. Step 5: Solve for x
    x = 1,008,883,457.26/36,142.93
  6. Step 6: Final answer
    x = 27,913.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.