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Finding the Fourth Proportional to 73,969.84, 102,078.24 and 40,435.84

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Solution

The fourth proportional to 73,969.84, 102,078.24 and 40,435.84 is: 55,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969.84 : 102,078.24 = 40,435.84 : x
  2. Step 2: Convert to fraction form
    73,969.84/102,078.24 = 40,435.84/x
  3. Step 3: Cross multiply
    73,969.84x = 102,078.24 × 40,435.84
  4. Step 4: Simplify right side
    73,969.84x = 4,127,619,380.12
  5. Step 5: Solve for x
    x = 4,127,619,380.12/73,969.84
  6. Step 6: Final answer
    x = 55,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.