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Finding the Fourth Proportional to 37,509.26, 51,764.16 and 20,514.66

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Solution

The fourth proportional to 37,509.26, 51,764.16 and 20,514.66 is: 28,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.26 : 51,764.16 = 20,514.66 : x
  2. Step 2: Convert to fraction form
    37,509.26/51,764.16 = 20,514.66/x
  3. Step 3: Cross multiply
    37,509.26x = 51,764.16 × 20,514.66
  4. Step 4: Simplify right side
    37,509.26x = 1,061,924,142.59
  5. Step 5: Solve for x
    x = 1,061,924,142.59/37,509.26
  6. Step 6: Final answer
    x = 28,310.99

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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.