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Finding the Fourth Proportional to 80,214.94, 120,363.45 and 32,864.50

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Solution

The fourth proportional to 80,214.94, 120,363.45 and 32,864.50 is: 49,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214.94 : 120,363.45 = 32,864.50 : x
  2. Step 2: Convert to fraction form
    80,214.94/120,363.45 = 32,864.50/x
  3. Step 3: Cross multiply
    80,214.94x = 120,363.45 × 32,864.50
  4. Step 4: Simplify right side
    80,214.94x = 3,955,684,602.53
  5. Step 5: Solve for x
    x = 3,955,684,602.53/80,214.94
  6. Step 6: Final answer
    x = 49,313.56

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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.