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Finding the Fourth Proportional to 51,090.60, 76,604.28 and 21,493.20

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Solution

The fourth proportional to 51,090.60, 76,604.28 and 21,493.20 is: 32,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,090.60 : 76,604.28 = 21,493.20 : x
  2. Step 2: Convert to fraction form
    51,090.60/76,604.28 = 21,493.20/x
  3. Step 3: Cross multiply
    51,090.60x = 76,604.28 × 21,493.20
  4. Step 4: Simplify right side
    51,090.60x = 1,646,471,110.90
  5. Step 5: Solve for x
    x = 1,646,471,110.90/51,090.60
  6. Step 6: Final answer
    x = 32,226.50

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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.