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Finding the Fourth Proportional to 55,205.96, 82,754.94 and 21,914.96

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Solution

The fourth proportional to 55,205.96, 82,754.94 and 21,914.96 is: 32,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.96 : 82,754.94 = 21,914.96 : x
  2. Step 2: Convert to fraction form
    55,205.96/82,754.94 = 21,914.96/x
  3. Step 3: Cross multiply
    55,205.96x = 82,754.94 × 21,914.96
  4. Step 4: Simplify right side
    55,205.96x = 1,813,571,199.90
  5. Step 5: Solve for x
    x = 1,813,571,199.90/55,205.96
  6. Step 6: Final answer
    x = 32,851.00

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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.