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Finding the Fourth Proportional to 52,958.86, 79,456.48 and 33,214.30

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Solution

The fourth proportional to 52,958.86, 79,456.48 and 33,214.30 is: 49,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,958.86 : 79,456.48 = 33,214.30 : x
  2. Step 2: Convert to fraction form
    52,958.86/79,456.48 = 33,214.30/x
  3. Step 3: Cross multiply
    52,958.86x = 79,456.48 × 33,214.30
  4. Step 4: Simplify right side
    52,958.86x = 2,639,091,363.66
  5. Step 5: Solve for x
    x = 2,639,091,363.66/52,958.86
  6. Step 6: Final answer
    x = 49,832.86

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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.