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Finding the Fourth Proportional to 55,308.27, 82,962.42 and 13,755.27

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Solution

The fourth proportional to 55,308.27, 82,962.42 and 13,755.27 is: 20,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,308.27 : 82,962.42 = 13,755.27 : x
  2. Step 2: Convert to fraction form
    55,308.27/82,962.42 = 13,755.27/x
  3. Step 3: Cross multiply
    55,308.27x = 82,962.42 × 13,755.27
  4. Step 4: Simplify right side
    55,308.27x = 1,141,170,486.95
  5. Step 5: Solve for x
    x = 1,141,170,486.95/55,308.27
  6. Step 6: Final answer
    x = 20,632.91

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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.