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Finding the Fourth Proportional to 37,142, 51,256.82 and 20,375

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Solution

The fourth proportional to 37,142, 51,256.82 and 20,375 is: 28,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142 : 51,256.82 = 20,375 : x
  2. Step 2: Convert to fraction form
    37,142/51,256.82 = 20,375/x
  3. Step 3: Cross multiply
    37,142x = 51,256.82 × 20,375
  4. Step 4: Simplify right side
    37,142x = 1,044,357,707.50
  5. Step 5: Solve for x
    x = 1,044,357,707.50/37,142
  6. Step 6: Final answer
    x = 28,117.97

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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.