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Finding the Fourth Proportional to 37,009.60, 51,073.14 and 20,013.78

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Solution

The fourth proportional to 37,009.60, 51,073.14 and 20,013.78 is: 27,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.60 : 51,073.14 = 20,013.78 : x
  2. Step 2: Convert to fraction form
    37,009.60/51,073.14 = 20,013.78/x
  3. Step 3: Cross multiply
    37,009.60x = 51,073.14 × 20,013.78
  4. Step 4: Simplify right side
    37,009.60x = 1,022,166,587.87
  5. Step 5: Solve for x
    x = 1,022,166,587.87/37,009.60
  6. Step 6: Final answer
    x = 27,618.96

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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.