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Finding the Fourth Proportional to 81,429.80, 122,166.30 and 28,833.80

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Solution

The fourth proportional to 81,429.80, 122,166.30 and 28,833.80 is: 43,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,429.80 : 122,166.30 = 28,833.80 : x
  2. Step 2: Convert to fraction form
    81,429.80/122,166.30 = 28,833.80/x
  3. Step 3: Cross multiply
    81,429.80x = 122,166.30 × 28,833.80
  4. Step 4: Simplify right side
    81,429.80x = 3,522,518,660.94
  5. Step 5: Solve for x
    x = 3,522,518,660.94/81,429.80
  6. Step 6: Final answer
    x = 43,258.35

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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.