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Finding the Fourth Proportional to 53,104.56, 79,706.07 and 26,827.80

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Solution

The fourth proportional to 53,104.56, 79,706.07 and 26,827.80 is: 40,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104.56 : 79,706.07 = 26,827.80 : x
  2. Step 2: Convert to fraction form
    53,104.56/79,706.07 = 26,827.80/x
  3. Step 3: Cross multiply
    53,104.56x = 79,706.07 × 26,827.80
  4. Step 4: Simplify right side
    53,104.56x = 2,138,338,504.75
  5. Step 5: Solve for x
    x = 2,138,338,504.75/53,104.56
  6. Step 6: Final answer
    x = 40,266.57

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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.