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Finding the Fourth Proportional to 54,651.84, 81,969.60 and 15,204.84

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Solution

The fourth proportional to 54,651.84, 81,969.60 and 15,204.84 is: 22,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.84 : 81,969.60 = 15,204.84 : x
  2. Step 2: Convert to fraction form
    54,651.84/81,969.60 = 15,204.84/x
  3. Step 3: Cross multiply
    54,651.84x = 81,969.60 × 15,204.84
  4. Step 4: Simplify right side
    54,651.84x = 1,246,334,652.86
  5. Step 5: Solve for x
    x = 1,246,334,652.86/54,651.84
  6. Step 6: Final answer
    x = 22,804.99

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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.