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Finding the Fourth Proportional to 72,133, 108,198.06 and 32,682.76

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Solution

The fourth proportional to 72,133, 108,198.06 and 32,682.76 is: 49,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,133 : 108,198.06 = 32,682.76 : x
  2. Step 2: Convert to fraction form
    72,133/108,198.06 = 32,682.76/x
  3. Step 3: Cross multiply
    72,133x = 108,198.06 × 32,682.76
  4. Step 4: Simplify right side
    72,133x = 3,536,211,227.45
  5. Step 5: Solve for x
    x = 3,536,211,227.45/72,133
  6. Step 6: Final answer
    x = 49,023.49

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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.