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Finding the Fourth Proportional to 87,833.54, 131,443.86 and 71,853.86

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Solution

The fourth proportional to 87,833.54, 131,443.86 and 71,853.86 is: 107,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833.54 : 131,443.86 = 71,853.86 : x
  2. Step 2: Convert to fraction form
    87,833.54/131,443.86 = 71,853.86/x
  3. Step 3: Cross multiply
    87,833.54x = 131,443.86 × 71,853.86
  4. Step 4: Simplify right side
    87,833.54x = 9,444,748,714.30
  5. Step 5: Solve for x
    x = 9,444,748,714.30/87,833.54
  6. Step 6: Final answer
    x = 107,530.09

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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.