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Finding the Fourth Proportional to 83,563.84, 125,283.41 and 50,276.10

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Solution

The fourth proportional to 83,563.84, 125,283.41 and 50,276.10 is: 75,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563.84 : 125,283.41 = 50,276.10 : x
  2. Step 2: Convert to fraction form
    83,563.84/125,283.41 = 50,276.10/x
  3. Step 3: Cross multiply
    83,563.84x = 125,283.41 × 50,276.10
  4. Step 4: Simplify right side
    83,563.84x = 6,298,761,249.50
  5. Step 5: Solve for x
    x = 6,298,761,249.50/83,563.84
  6. Step 6: Final answer
    x = 75,376.64

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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.