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Finding the Fourth Proportional to 80,821.64, 111,524.06 and 46,364.58

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Solution

The fourth proportional to 80,821.64, 111,524.06 and 46,364.58 is: 63,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,821.64 : 111,524.06 = 46,364.58 : x
  2. Step 2: Convert to fraction form
    80,821.64/111,524.06 = 46,364.58/x
  3. Step 3: Cross multiply
    80,821.64x = 111,524.06 × 46,364.58
  4. Step 4: Simplify right side
    80,821.64x = 5,170,766,201.79
  5. Step 5: Solve for x
    x = 5,170,766,201.79/80,821.64
  6. Step 6: Final answer
    x = 63,977.50

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