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Finding the Fourth Proportional to 73,502.32, 110,166 and 51,194.92

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Solution

The fourth proportional to 73,502.32, 110,166 and 51,194.92 is: 76,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,502.32 : 110,166 = 51,194.92 : x
  2. Step 2: Convert to fraction form
    73,502.32/110,166 = 51,194.92/x
  3. Step 3: Cross multiply
    73,502.32x = 110,166 × 51,194.92
  4. Step 4: Simplify right side
    73,502.32x = 5,639,939,556.72
  5. Step 5: Solve for x
    x = 5,639,939,556.72/73,502.32
  6. Step 6: Final answer
    x = 76,731.45

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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.