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Finding the Fourth Proportional to 36,725.76, 55,092 and 11,766.48

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Solution

The fourth proportional to 36,725.76, 55,092 and 11,766.48 is: 17,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725.76 : 55,092 = 11,766.48 : x
  2. Step 2: Convert to fraction form
    36,725.76/55,092 = 11,766.48/x
  3. Step 3: Cross multiply
    36,725.76x = 55,092 × 11,766.48
  4. Step 4: Simplify right side
    36,725.76x = 648,238,916.16
  5. Step 5: Solve for x
    x = 648,238,916.16/36,725.76
  6. Step 6: Final answer
    x = 17,650.80

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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.