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Finding the Fourth Proportional to 58,198.86, 87,311.25 and 31,890.06

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Solution

The fourth proportional to 58,198.86, 87,311.25 and 31,890.06 is: 47,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,198.86 : 87,311.25 = 31,890.06 : x
  2. Step 2: Convert to fraction form
    58,198.86/87,311.25 = 31,890.06/x
  3. Step 3: Cross multiply
    58,198.86x = 87,311.25 × 31,890.06
  4. Step 4: Simplify right side
    58,198.86x = 2,784,361,001.18
  5. Step 5: Solve for x
    x = 2,784,361,001.18/58,198.86
  6. Step 6: Final answer
    x = 47,842.19

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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.