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Finding the Fourth Proportional to 73,914.40, 102,004.24 and 40,380.40

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Solution

The fourth proportional to 73,914.40, 102,004.24 and 40,380.40 is: 55,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.40 : 102,004.24 = 40,380.40 : x
  2. Step 2: Convert to fraction form
    73,914.40/102,004.24 = 40,380.40/x
  3. Step 3: Cross multiply
    73,914.40x = 102,004.24 × 40,380.40
  4. Step 4: Simplify right side
    73,914.40x = 4,118,972,012.90
  5. Step 5: Solve for x
    x = 4,118,972,012.90/73,914.40
  6. Step 6: Final answer
    x = 55,726.25

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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.