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Finding the Fourth Proportional to 52,652.20, 78,822.62 and 33,876.80

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Solution

The fourth proportional to 52,652.20, 78,822.62 and 33,876.80 is: 50,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,652.20 : 78,822.62 = 33,876.80 : x
  2. Step 2: Convert to fraction form
    52,652.20/78,822.62 = 33,876.80/x
  3. Step 3: Cross multiply
    52,652.20x = 78,822.62 × 33,876.80
  4. Step 4: Simplify right side
    52,652.20x = 2,670,258,133.22
  5. Step 5: Solve for x
    x = 2,670,258,133.22/52,652.20
  6. Step 6: Final answer
    x = 50,715.03

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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.