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Finding the Fourth Proportional to 99,467.62, 149,223.92 and 32,907.60

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Solution

The fourth proportional to 99,467.62, 149,223.92 and 32,907.60 is: 49,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,467.62 : 149,223.92 = 32,907.60 : x
  2. Step 2: Convert to fraction form
    99,467.62/149,223.92 = 32,907.60/x
  3. Step 3: Cross multiply
    99,467.62x = 149,223.92 × 32,907.60
  4. Step 4: Simplify right side
    99,467.62x = 4,910,600,905.25
  5. Step 5: Solve for x
    x = 4,910,600,905.25/99,467.62
  6. Step 6: Final answer
    x = 49,368.84

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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.