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Finding the Fourth Proportional to 84,190.32, 116,182.89 and 45,950.22

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Solution

The fourth proportional to 84,190.32, 116,182.89 and 45,950.22 is: 63,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,190.32 : 116,182.89 = 45,950.22 : x
  2. Step 2: Convert to fraction form
    84,190.32/116,182.89 = 45,950.22/x
  3. Step 3: Cross multiply
    84,190.32x = 116,182.89 × 45,950.22
  4. Step 4: Simplify right side
    84,190.32x = 5,338,629,355.74
  5. Step 5: Solve for x
    x = 5,338,629,355.74/84,190.32
  6. Step 6: Final answer
    x = 63,411.44

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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.