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Finding the Fourth Proportional to 73,742.81, 110,614.21 and 31,595.67

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Solution

The fourth proportional to 73,742.81, 110,614.21 and 31,595.67 is: 47,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.81 : 110,614.21 = 31,595.67 : x
  2. Step 2: Convert to fraction form
    73,742.81/110,614.21 = 31,595.67/x
  3. Step 3: Cross multiply
    73,742.81x = 110,614.21 × 31,595.67
  4. Step 4: Simplify right side
    73,742.81x = 3,494,929,997.48
  5. Step 5: Solve for x
    x = 3,494,929,997.48/73,742.81
  6. Step 6: Final answer
    x = 47,393.51

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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.