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Finding the Fourth Proportional to 80,678.80, 121,022.16 and 21,515

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Solution

The fourth proportional to 80,678.80, 121,022.16 and 21,515 is: 32,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,678.80 : 121,022.16 = 21,515 : x
  2. Step 2: Convert to fraction form
    80,678.80/121,022.16 = 21,515/x
  3. Step 3: Cross multiply
    80,678.80x = 121,022.16 × 21,515
  4. Step 4: Simplify right side
    80,678.80x = 2,603,791,772.40
  5. Step 5: Solve for x
    x = 2,603,791,772.40/80,678.80
  6. Step 6: Final answer
    x = 32,273.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.