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Finding the Fourth Proportional to 80,842.92, 111,566.70 and 45,032.96

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Solution

The fourth proportional to 80,842.92, 111,566.70 and 45,032.96 is: 62,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,842.92 : 111,566.70 = 45,032.96 : x
  2. Step 2: Convert to fraction form
    80,842.92/111,566.70 = 45,032.96/x
  3. Step 3: Cross multiply
    80,842.92x = 111,566.70 × 45,032.96
  4. Step 4: Simplify right side
    80,842.92x = 5,024,178,180.60
  5. Step 5: Solve for x
    x = 5,024,178,180.60/80,842.92
  6. Step 6: Final answer
    x = 62,147.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.