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Finding the Fourth Proportional to 37,197.15, 51,331.84 and 20,201.23

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Solution

The fourth proportional to 37,197.15, 51,331.84 and 20,201.23 is: 27,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197.15 : 51,331.84 = 20,201.23 : x
  2. Step 2: Convert to fraction form
    37,197.15/51,331.84 = 20,201.23/x
  3. Step 3: Cross multiply
    37,197.15x = 51,331.84 × 20,201.23
  4. Step 4: Simplify right side
    37,197.15x = 1,036,966,306.16
  5. Step 5: Solve for x
    x = 1,036,966,306.16/37,197.15
  6. Step 6: Final answer
    x = 27,877.57

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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.