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Finding the Fourth Proportional to 37,150.64, 55,735.68 and 10,857.68

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Solution

The fourth proportional to 37,150.64, 55,735.68 and 10,857.68 is: 16,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,150.64 : 55,735.68 = 10,857.68 : x
  2. Step 2: Convert to fraction form
    37,150.64/55,735.68 = 10,857.68/x
  3. Step 3: Cross multiply
    37,150.64x = 55,735.68 × 10,857.68
  4. Step 4: Simplify right side
    37,150.64x = 605,160,178.02
  5. Step 5: Solve for x
    x = 605,160,178.02/37,150.64
  6. Step 6: Final answer
    x = 16,289.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.