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Finding the Fourth Proportional to 54,262.64, 81,402.12 and 19,202.64

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Solution

The fourth proportional to 54,262.64, 81,402.12 and 19,202.64 is: 28,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,262.64 : 81,402.12 = 19,202.64 : x
  2. Step 2: Convert to fraction form
    54,262.64/81,402.12 = 19,202.64/x
  3. Step 3: Cross multiply
    54,262.64x = 81,402.12 × 19,202.64
  4. Step 4: Simplify right side
    54,262.64x = 1,563,135,605.60
  5. Step 5: Solve for x
    x = 1,563,135,605.60/54,262.64
  6. Step 6: Final answer
    x = 28,806.85

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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.