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Finding the Fourth Proportional to 53,706.76, 80,568.78 and 18,656.44

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Solution

The fourth proportional to 53,706.76, 80,568.78 and 18,656.44 is: 27,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.76 : 80,568.78 = 18,656.44 : x
  2. Step 2: Convert to fraction form
    53,706.76/80,568.78 = 18,656.44/x
  3. Step 3: Cross multiply
    53,706.76x = 80,568.78 × 18,656.44
  4. Step 4: Simplify right side
    53,706.76x = 1,503,126,609.94
  5. Step 5: Solve for x
    x = 1,503,126,609.94/53,706.76
  6. Step 6: Final answer
    x = 27,987.66

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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.