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Finding the Fourth Proportional to 73,771.34, 101,804.18 and 41,940.24

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Solution

The fourth proportional to 73,771.34, 101,804.18 and 41,940.24 is: 57,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,771.34 : 101,804.18 = 41,940.24 : x
  2. Step 2: Convert to fraction form
    73,771.34/101,804.18 = 41,940.24/x
  3. Step 3: Cross multiply
    73,771.34x = 101,804.18 × 41,940.24
  4. Step 4: Simplify right side
    73,771.34x = 4,269,691,742.20
  5. Step 5: Solve for x
    x = 4,269,691,742.20/73,771.34
  6. Step 6: Final answer
    x = 57,877.38

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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.