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Finding the Fourth Proportional to 55,280.20, 82,871.70 and 33,102.40

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Solution

The fourth proportional to 55,280.20, 82,871.70 and 33,102.40 is: 49,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,280.20 : 82,871.70 = 33,102.40 : x
  2. Step 2: Convert to fraction form
    55,280.20/82,871.70 = 33,102.40/x
  3. Step 3: Cross multiply
    55,280.20x = 82,871.70 × 33,102.40
  4. Step 4: Simplify right side
    55,280.20x = 2,743,252,162.08
  5. Step 5: Solve for x
    x = 2,743,252,162.08/55,280.20
  6. Step 6: Final answer
    x = 49,624.50

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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.