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Finding the Fourth Proportional to 55,906.29, 83,874.02 and 20,846.25

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Solution

The fourth proportional to 55,906.29, 83,874.02 and 20,846.25 is: 31,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.29 : 83,874.02 = 20,846.25 : x
  2. Step 2: Convert to fraction form
    55,906.29/83,874.02 = 20,846.25/x
  3. Step 3: Cross multiply
    55,906.29x = 83,874.02 × 20,846.25
  4. Step 4: Simplify right side
    55,906.29x = 1,748,458,685.19
  5. Step 5: Solve for x
    x = 1,748,458,685.19/55,906.29
  6. Step 6: Final answer
    x = 31,274.81

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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.