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Finding the Fourth Proportional to 80,032.53, 110,441.93 and 44,221.80

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Solution

The fourth proportional to 80,032.53, 110,441.93 and 44,221.80 is: 61,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032.53 : 110,441.93 = 44,221.80 : x
  2. Step 2: Convert to fraction form
    80,032.53/110,441.93 = 44,221.80/x
  3. Step 3: Cross multiply
    80,032.53x = 110,441.93 × 44,221.80
  4. Step 4: Simplify right side
    80,032.53x = 4,883,940,718.97
  5. Step 5: Solve for x
    x = 4,883,940,718.97/80,032.53
  6. Step 6: Final answer
    x = 61,024.44

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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.