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Finding the Fourth Proportional to 37,084.64, 51,175.84 and 20,732

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Solution

The fourth proportional to 37,084.64, 51,175.84 and 20,732 is: 28,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084.64 : 51,175.84 = 20,732 : x
  2. Step 2: Convert to fraction form
    37,084.64/51,175.84 = 20,732/x
  3. Step 3: Cross multiply
    37,084.64x = 51,175.84 × 20,732
  4. Step 4: Simplify right side
    37,084.64x = 1,060,977,514.88
  5. Step 5: Solve for x
    x = 1,060,977,514.88/37,084.64
  6. Step 6: Final answer
    x = 28,609.62

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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.