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Finding the Fourth Proportional to 37,072.50, 51,160.23 and 20,305.50

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Solution

The fourth proportional to 37,072.50, 51,160.23 and 20,305.50 is: 28,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.50 : 51,160.23 = 20,305.50 : x
  2. Step 2: Convert to fraction form
    37,072.50/51,160.23 = 20,305.50/x
  3. Step 3: Cross multiply
    37,072.50x = 51,160.23 × 20,305.50
  4. Step 4: Simplify right side
    37,072.50x = 1,038,834,050.27
  5. Step 5: Solve for x
    x = 1,038,834,050.27/37,072.50
  6. Step 6: Final answer
    x = 28,021.69

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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.