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Finding the Fourth Proportional to 80,300.49, 110,866.65 and 51,633

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Solution

The fourth proportional to 80,300.49, 110,866.65 and 51,633 is: 71,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,300.49 : 110,866.65 = 51,633 : x
  2. Step 2: Convert to fraction form
    80,300.49/110,866.65 = 51,633/x
  3. Step 3: Cross multiply
    80,300.49x = 110,866.65 × 51,633
  4. Step 4: Simplify right side
    80,300.49x = 5,724,377,739.45
  5. Step 5: Solve for x
    x = 5,724,377,739.45/80,300.49
  6. Step 6: Final answer
    x = 71,286.96

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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.