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Finding the Fourth Proportional to 55,056.50, 82,555.58 and 21,775.22

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Solution

The fourth proportional to 55,056.50, 82,555.58 and 21,775.22 is: 32,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,056.50 : 82,555.58 = 21,775.22 : x
  2. Step 2: Convert to fraction form
    55,056.50/82,555.58 = 21,775.22/x
  3. Step 3: Cross multiply
    55,056.50x = 82,555.58 × 21,775.22
  4. Step 4: Simplify right side
    55,056.50x = 1,797,665,395.07
  5. Step 5: Solve for x
    x = 1,797,665,395.07/55,056.50
  6. Step 6: Final answer
    x = 32,651.29

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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.