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Finding the Fourth Proportional to 57,381.83, 79,186.62 and 31,540.97

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Solution

The fourth proportional to 57,381.83, 79,186.62 and 31,540.97 is: 43,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.83 : 79,186.62 = 31,540.97 : x
  2. Step 2: Convert to fraction form
    57,381.83/79,186.62 = 31,540.97/x
  3. Step 3: Cross multiply
    57,381.83x = 79,186.62 × 31,540.97
  4. Step 4: Simplify right side
    57,381.83x = 2,497,623,122.07
  5. Step 5: Solve for x
    x = 2,497,623,122.07/57,381.83
  6. Step 6: Final answer
    x = 43,526.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.