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Finding the Fourth Proportional to 37,742.67, 56,614.14 and 11,447.64

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Solution

The fourth proportional to 37,742.67, 56,614.14 and 11,447.64 is: 17,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742.67 : 56,614.14 = 11,447.64 : x
  2. Step 2: Convert to fraction form
    37,742.67/56,614.14 = 11,447.64/x
  3. Step 3: Cross multiply
    37,742.67x = 56,614.14 × 11,447.64
  4. Step 4: Simplify right side
    37,742.67x = 648,098,293.63
  5. Step 5: Solve for x
    x = 648,098,293.63/37,742.67
  6. Step 6: Final answer
    x = 17,171.50

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Why These Related Problems?

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