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Finding the Fourth Proportional to 55,301.60, 82,942.80 and 20,223.20

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Solution

The fourth proportional to 55,301.60, 82,942.80 and 20,223.20 is: 30,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301.60 : 82,942.80 = 20,223.20 : x
  2. Step 2: Convert to fraction form
    55,301.60/82,942.80 = 20,223.20/x
  3. Step 3: Cross multiply
    55,301.60x = 82,942.80 × 20,223.20
  4. Step 4: Simplify right side
    55,301.60x = 1,677,368,832.96
  5. Step 5: Solve for x
    x = 1,677,368,832.96/55,301.60
  6. Step 6: Final answer
    x = 30,331.29

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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.