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Finding the Fourth Proportional to 42,847.46, 64,270.51 and 11,682.71

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Solution

The fourth proportional to 42,847.46, 64,270.51 and 11,682.71 is: 17,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847.46 : 64,270.51 = 11,682.71 : x
  2. Step 2: Convert to fraction form
    42,847.46/64,270.51 = 11,682.71/x
  3. Step 3: Cross multiply
    42,847.46x = 64,270.51 × 11,682.71
  4. Step 4: Simplify right side
    42,847.46x = 750,853,729.88
  5. Step 5: Solve for x
    x = 750,853,729.88/42,847.46
  6. Step 6: Final answer
    x = 17,523.88

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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.