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Finding the Fourth Proportional to 33,997.50, 50,978.72 and 15,261.48

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Solution

The fourth proportional to 33,997.50, 50,978.72 and 15,261.48 is: 22,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.50 : 50,978.72 = 15,261.48 : x
  2. Step 2: Convert to fraction form
    33,997.50/50,978.72 = 15,261.48/x
  3. Step 3: Cross multiply
    33,997.50x = 50,978.72 × 15,261.48
  4. Step 4: Simplify right side
    33,997.50x = 778,010,715.71
  5. Step 5: Solve for x
    x = 778,010,715.71/33,997.50
  6. Step 6: Final answer
    x = 22,884.35

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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.