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Finding the Fourth Proportional to 52,229.96, 78,179.68 and 33,484.96

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Solution

The fourth proportional to 52,229.96, 78,179.68 and 33,484.96 is: 50,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,229.96 : 78,179.68 = 33,484.96 : x
  2. Step 2: Convert to fraction form
    52,229.96/78,179.68 = 33,484.96/x
  3. Step 3: Cross multiply
    52,229.96x = 78,179.68 × 33,484.96
  4. Step 4: Simplify right side
    52,229.96x = 2,617,843,457.61
  5. Step 5: Solve for x
    x = 2,617,843,457.61/52,229.96
  6. Step 6: Final answer
    x = 50,121.49

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Why These Related Problems?

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