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Finding the Fourth Proportional to 99,682.26, 137,564.82 and 54,362.71

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Solution

The fourth proportional to 99,682.26, 137,564.82 and 54,362.71 is: 75,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,682.26 : 137,564.82 = 54,362.71 : x
  2. Step 2: Convert to fraction form
    99,682.26/137,564.82 = 54,362.71/x
  3. Step 3: Cross multiply
    99,682.26x = 137,564.82 × 54,362.71
  4. Step 4: Simplify right side
    99,682.26x = 7,478,396,415.86
  5. Step 5: Solve for x
    x = 7,478,396,415.86/99,682.26
  6. Step 6: Final answer
    x = 75,022.34

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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.