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Finding the Fourth Proportional to 37,028.80, 51,099.54 and 20,033

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Solution

The fourth proportional to 37,028.80, 51,099.54 and 20,033 is: 27,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028.80 : 51,099.54 = 20,033 : x
  2. Step 2: Convert to fraction form
    37,028.80/51,099.54 = 20,033/x
  3. Step 3: Cross multiply
    37,028.80x = 51,099.54 × 20,033
  4. Step 4: Simplify right side
    37,028.80x = 1,023,677,084.82
  5. Step 5: Solve for x
    x = 1,023,677,084.82/37,028.80
  6. Step 6: Final answer
    x = 27,645.43

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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.