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Finding the Fourth Proportional to 37,202.58, 51,339.94 and 20,206.99

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Solution

The fourth proportional to 37,202.58, 51,339.94 and 20,206.99 is: 27,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.58 : 51,339.94 = 20,206.99 : x
  2. Step 2: Convert to fraction form
    37,202.58/51,339.94 = 20,206.99/x
  3. Step 3: Cross multiply
    37,202.58x = 51,339.94 × 20,206.99
  4. Step 4: Simplify right side
    37,202.58x = 1,037,425,654.18
  5. Step 5: Solve for x
    x = 1,037,425,654.18/37,202.58
  6. Step 6: Final answer
    x = 27,885.85

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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.