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Finding the Fourth Proportional to 71,283.60, 106,922.16 and 33,816.24

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Solution

The fourth proportional to 71,283.60, 106,922.16 and 33,816.24 is: 50,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,283.60 : 106,922.16 = 33,816.24 : x
  2. Step 2: Convert to fraction form
    71,283.60/106,922.16 = 33,816.24/x
  3. Step 3: Cross multiply
    71,283.60x = 106,922.16 × 33,816.24
  4. Step 4: Simplify right side
    71,283.60x = 3,615,705,423.88
  5. Step 5: Solve for x
    x = 3,615,705,423.88/71,283.60
  6. Step 6: Final answer
    x = 50,722.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.