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Finding the Fourth Proportional to 37,196.40, 51,331.40 and 20,200.80

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Solution

The fourth proportional to 37,196.40, 51,331.40 and 20,200.80 is: 27,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196.40 : 51,331.40 = 20,200.80 : x
  2. Step 2: Convert to fraction form
    37,196.40/51,331.40 = 20,200.80/x
  3. Step 3: Cross multiply
    37,196.40x = 51,331.40 × 20,200.80
  4. Step 4: Simplify right side
    37,196.40x = 1,036,935,345.12
  5. Step 5: Solve for x
    x = 1,036,935,345.12/37,196.40
  6. Step 6: Final answer
    x = 27,877.30

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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.