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Finding the Fourth Proportional to 37,202.73, 51,340.14 and 20,207.22

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Solution

The fourth proportional to 37,202.73, 51,340.14 and 20,207.22 is: 27,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.73 : 51,340.14 = 20,207.22 : x
  2. Step 2: Convert to fraction form
    37,202.73/51,340.14 = 20,207.22/x
  3. Step 3: Cross multiply
    37,202.73x = 51,340.14 × 20,207.22
  4. Step 4: Simplify right side
    37,202.73x = 1,037,441,503.81
  5. Step 5: Solve for x
    x = 1,037,441,503.81/37,202.73
  6. Step 6: Final answer
    x = 27,886.17

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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.