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Finding the Fourth Proportional to 37,128.60, 55,642.37 and 20,463.66

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Solution

The fourth proportional to 37,128.60, 55,642.37 and 20,463.66 is: 30,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128.60 : 55,642.37 = 20,463.66 : x
  2. Step 2: Convert to fraction form
    37,128.60/55,642.37 = 20,463.66/x
  3. Step 3: Cross multiply
    37,128.60x = 55,642.37 × 20,463.66
  4. Step 4: Simplify right side
    37,128.60x = 1,138,646,438.96
  5. Step 5: Solve for x
    x = 1,138,646,438.96/37,128.60
  6. Step 6: Final answer
    x = 30,667.64

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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.