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Finding the Fourth Proportional to 51,588.89, 77,344.34 and 33,824.02

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Solution

The fourth proportional to 51,588.89, 77,344.34 and 33,824.02 is: 50,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588.89 : 77,344.34 = 33,824.02 : x
  2. Step 2: Convert to fraction form
    51,588.89/77,344.34 = 33,824.02/x
  3. Step 3: Cross multiply
    51,588.89x = 77,344.34 × 33,824.02
  4. Step 4: Simplify right side
    51,588.89x = 2,616,096,503.05
  5. Step 5: Solve for x
    x = 2,616,096,503.05/51,588.89
  6. Step 6: Final answer
    x = 50,710.46

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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.