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Finding the Fourth Proportional to 55,469.52, 83,203.74 and 13,916.52

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Solution

The fourth proportional to 55,469.52, 83,203.74 and 13,916.52 is: 20,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,469.52 : 83,203.74 = 13,916.52 : x
  2. Step 2: Convert to fraction form
    55,469.52/83,203.74 = 13,916.52/x
  3. Step 3: Cross multiply
    55,469.52x = 83,203.74 × 13,916.52
  4. Step 4: Simplify right side
    55,469.52x = 1,157,906,511.78
  5. Step 5: Solve for x
    x = 1,157,906,511.78/55,469.52
  6. Step 6: Final answer
    x = 20,874.64

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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.