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Finding the Fourth Proportional to 37,492.38, 51,739.59 and 20,496.83

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Solution

The fourth proportional to 37,492.38, 51,739.59 and 20,496.83 is: 28,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,492.38 : 51,739.59 = 20,496.83 : x
  2. Step 2: Convert to fraction form
    37,492.38/51,739.59 = 20,496.83/x
  3. Step 3: Cross multiply
    37,492.38x = 51,739.59 × 20,496.83
  4. Step 4: Simplify right side
    37,492.38x = 1,060,497,321.80
  5. Step 5: Solve for x
    x = 1,060,497,321.80/37,492.38
  6. Step 6: Final answer
    x = 28,285.68

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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.