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Finding the Fourth Proportional to 73,749.71, 110,540.92 and 64,847.86

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Solution

The fourth proportional to 73,749.71, 110,540.92 and 64,847.86 is: 97,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,749.71 : 110,540.92 = 64,847.86 : x
  2. Step 2: Convert to fraction form
    73,749.71/110,540.92 = 64,847.86/x
  3. Step 3: Cross multiply
    73,749.71x = 110,540.92 × 64,847.86
  4. Step 4: Simplify right side
    73,749.71x = 7,168,341,227.49
  5. Step 5: Solve for x
    x = 7,168,341,227.49/73,749.71
  6. Step 6: Final answer
    x = 97,198.23

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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.