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Finding the Fourth Proportional to 54,513.60, 81,822.60 and 28,237.20

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Solution

The fourth proportional to 54,513.60, 81,822.60 and 28,237.20 is: 42,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,513.60 : 81,822.60 = 28,237.20 : x
  2. Step 2: Convert to fraction form
    54,513.60/81,822.60 = 28,237.20/x
  3. Step 3: Cross multiply
    54,513.60x = 81,822.60 × 28,237.20
  4. Step 4: Simplify right side
    54,513.60x = 2,310,441,120.72
  5. Step 5: Solve for x
    x = 2,310,441,120.72/54,513.60
  6. Step 6: Final answer
    x = 42,382.84

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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.