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Finding the Fourth Proportional to 89,281.56, 133,836.92 and 33,106.64

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Solution

The fourth proportional to 89,281.56, 133,836.92 and 33,106.64 is: 49,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,281.56 : 133,836.92 = 33,106.64 : x
  2. Step 2: Convert to fraction form
    89,281.56/133,836.92 = 33,106.64/x
  3. Step 3: Cross multiply
    89,281.56x = 133,836.92 × 33,106.64
  4. Step 4: Simplify right side
    89,281.56x = 4,430,890,729.15
  5. Step 5: Solve for x
    x = 4,430,890,729.15/89,281.56
  6. Step 6: Final answer
    x = 49,628.29

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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.