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Finding the Fourth Proportional to 37,147.50, 51,264.45 and 20,380.50

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Solution

The fourth proportional to 37,147.50, 51,264.45 and 20,380.50 is: 28,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.50 : 51,264.45 = 20,380.50 : x
  2. Step 2: Convert to fraction form
    37,147.50/51,264.45 = 20,380.50/x
  3. Step 3: Cross multiply
    37,147.50x = 51,264.45 × 20,380.50
  4. Step 4: Simplify right side
    37,147.50x = 1,044,795,123.23
  5. Step 5: Solve for x
    x = 1,044,795,123.23/37,147.50
  6. Step 6: Final answer
    x = 28,125.58

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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.