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Finding the Fourth Proportional to 37,196.46, 51,331.50 and 20,200.86

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Solution

The fourth proportional to 37,196.46, 51,331.50 and 20,200.86 is: 27,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196.46 : 51,331.50 = 20,200.86 : x
  2. Step 2: Convert to fraction form
    37,196.46/51,331.50 = 20,200.86/x
  3. Step 3: Cross multiply
    37,196.46x = 51,331.50 × 20,200.86
  4. Step 4: Simplify right side
    37,196.46x = 1,036,940,445.09
  5. Step 5: Solve for x
    x = 1,036,940,445.09/37,196.46
  6. Step 6: Final answer
    x = 27,877.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.