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Finding the Fourth Proportional to 36,753.88, 55,149.06 and 14,566.78

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Solution

The fourth proportional to 36,753.88, 55,149.06 and 14,566.78 is: 21,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,753.88 : 55,149.06 = 14,566.78 : x
  2. Step 2: Convert to fraction form
    36,753.88/55,149.06 = 14,566.78/x
  3. Step 3: Cross multiply
    36,753.88x = 55,149.06 × 14,566.78
  4. Step 4: Simplify right side
    36,753.88x = 803,344,224.23
  5. Step 5: Solve for x
    x = 803,344,224.23/36,753.88
  6. Step 6: Final answer
    x = 21,857.40

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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.