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Finding the Fourth Proportional to 57,837.59, 79,814.38 and 31,997.09

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Solution

The fourth proportional to 57,837.59, 79,814.38 and 31,997.09 is: 44,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,837.59 : 79,814.38 = 31,997.09 : x
  2. Step 2: Convert to fraction form
    57,837.59/79,814.38 = 31,997.09/x
  3. Step 3: Cross multiply
    57,837.59x = 79,814.38 × 31,997.09
  4. Step 4: Simplify right side
    57,837.59x = 2,553,827,939.70
  5. Step 5: Solve for x
    x = 2,553,827,939.70/57,837.59
  6. Step 6: Final answer
    x = 44,155.16

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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.