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Finding the Fourth Proportional to 37,879.92, 56,829 and 11,582.88

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Solution

The fourth proportional to 37,879.92, 56,829 and 11,582.88 is: 17,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,879.92 : 56,829 = 11,582.88 : x
  2. Step 2: Convert to fraction form
    37,879.92/56,829 = 11,582.88/x
  3. Step 3: Cross multiply
    37,879.92x = 56,829 × 11,582.88
  4. Step 4: Simplify right side
    37,879.92x = 658,243,487.52
  5. Step 5: Solve for x
    x = 658,243,487.52/37,879.92
  6. Step 6: Final answer
    x = 17,377.11

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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.