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Finding the Fourth Proportional to 72,805.50, 109,200.96 and 53,122.50

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Solution

The fourth proportional to 72,805.50, 109,200.96 and 53,122.50 is: 79,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 109,200.96 = 53,122.50 : x
  2. Step 2: Convert to fraction form
    72,805.50/109,200.96 = 53,122.50/x
  3. Step 3: Cross multiply
    72,805.50x = 109,200.96 × 53,122.50
  4. Step 4: Simplify right side
    72,805.50x = 5,801,027,997.60
  5. Step 5: Solve for x
    x = 5,801,027,997.60/72,805.50
  6. Step 6: Final answer
    x = 79,678.43

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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.