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Finding the Fourth Proportional to 57,853.82, 79,836.09 and 32,703.86

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Solution

The fourth proportional to 57,853.82, 79,836.09 and 32,703.86 is: 45,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.82 : 79,836.09 = 32,703.86 : x
  2. Step 2: Convert to fraction form
    57,853.82/79,836.09 = 32,703.86/x
  3. Step 3: Cross multiply
    57,853.82x = 79,836.09 × 32,703.86
  4. Step 4: Simplify right side
    57,853.82x = 2,610,948,310.31
  5. Step 5: Solve for x
    x = 2,610,948,310.31/57,853.82
  6. Step 6: Final answer
    x = 45,130.09

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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.