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Finding the Fourth Proportional to 89,822.88, 134,661.24 and 33,631.50

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Solution

The fourth proportional to 89,822.88, 134,661.24 and 33,631.50 is: 50,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.88 : 134,661.24 = 33,631.50 : x
  2. Step 2: Convert to fraction form
    89,822.88/134,661.24 = 33,631.50/x
  3. Step 3: Cross multiply
    89,822.88x = 134,661.24 × 33,631.50
  4. Step 4: Simplify right side
    89,822.88x = 4,528,859,493.06
  5. Step 5: Solve for x
    x = 4,528,859,493.06/89,822.88
  6. Step 6: Final answer
    x = 50,419.89

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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.