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Finding the Fourth Proportional to 82,674, 114,102.60 and 50,427.36

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Solution

The fourth proportional to 82,674, 114,102.60 and 50,427.36 is: 69,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,674 : 114,102.60 = 50,427.36 : x
  2. Step 2: Convert to fraction form
    82,674/114,102.60 = 50,427.36/x
  3. Step 3: Cross multiply
    82,674x = 114,102.60 × 50,427.36
  4. Step 4: Simplify right side
    82,674x = 5,753,892,887.14
  5. Step 5: Solve for x
    x = 5,753,892,887.14/82,674
  6. Step 6: Final answer
    x = 69,597.37

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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.