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Finding the Fourth Proportional to 55,817.68, 83,620.28 and 33,282

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Solution

The fourth proportional to 55,817.68, 83,620.28 and 33,282 is: 49,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.68 : 83,620.28 = 33,282 : x
  2. Step 2: Convert to fraction form
    55,817.68/83,620.28 = 33,282/x
  3. Step 3: Cross multiply
    55,817.68x = 83,620.28 × 33,282
  4. Step 4: Simplify right side
    55,817.68x = 2,783,050,158.96
  5. Step 5: Solve for x
    x = 2,783,050,158.96/55,817.68
  6. Step 6: Final answer
    x = 49,859.65

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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.