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Finding the Fourth Proportional to 75,736, 104,516.16 and 42,202.24

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Solution

The fourth proportional to 75,736, 104,516.16 and 42,202.24 is: 58,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,736 : 104,516.16 = 42,202.24 : x
  2. Step 2: Convert to fraction form
    75,736/104,516.16 = 42,202.24/x
  3. Step 3: Cross multiply
    75,736x = 104,516.16 × 42,202.24
  4. Step 4: Simplify right side
    75,736x = 4,410,816,068.20
  5. Step 5: Solve for x
    x = 4,410,816,068.20/75,736
  6. Step 6: Final answer
    x = 58,239.36

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