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Finding the Fourth Proportional to 52,770.96, 79,173 and 23,213.64

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Solution

The fourth proportional to 52,770.96, 79,173 and 23,213.64 is: 34,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770.96 : 79,173 = 23,213.64 : x
  2. Step 2: Convert to fraction form
    52,770.96/79,173 = 23,213.64/x
  3. Step 3: Cross multiply
    52,770.96x = 79,173 × 23,213.64
  4. Step 4: Simplify right side
    52,770.96x = 1,837,893,519.72
  5. Step 5: Solve for x
    x = 1,837,893,519.72/52,770.96
  6. Step 6: Final answer
    x = 34,827.74

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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.