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Finding the Fourth Proportional to 95,763, 143,644.50 and 30,099

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Solution

The fourth proportional to 95,763, 143,644.50 and 30,099 is: 45,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,763 : 143,644.50 = 30,099 : x
  2. Step 2: Convert to fraction form
    95,763/143,644.50 = 30,099/x
  3. Step 3: Cross multiply
    95,763x = 143,644.50 × 30,099
  4. Step 4: Simplify right side
    95,763x = 4,323,555,805.50
  5. Step 5: Solve for x
    x = 4,323,555,805.50/95,763
  6. Step 6: Final answer
    x = 45,148.50

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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.