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Finding the Fourth Proportional to 55,221.60, 82,808.10 and 21,930.60

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Solution

The fourth proportional to 55,221.60, 82,808.10 and 21,930.60 is: 32,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.60 : 82,808.10 = 21,930.60 : x
  2. Step 2: Convert to fraction form
    55,221.60/82,808.10 = 21,930.60/x
  3. Step 3: Cross multiply
    55,221.60x = 82,808.10 × 21,930.60
  4. Step 4: Simplify right side
    55,221.60x = 1,816,031,317.86
  5. Step 5: Solve for x
    x = 1,816,031,317.86/55,221.60
  6. Step 6: Final answer
    x = 32,886.25

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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.